List of publications of Carlo Bardaro



RESEARCH ARTICLES

  1. C. Bardaro – D. Candeloro Sull’approssimazione dell’integrale di Burkill-Cesari di funzionali sublineari su misure ed applicazioni all’integrale multiplo del Calcolo delle Variazioni Atti Sem. Mat. Fis. Univ. Modena, 26, (1977), 339-362.

  2. C. Bardaro – P. Pucci Un teorema di esistenza per equazioni contingenti in spazi di Banach Atti Sem. Mat. Fis. Univ. Modena, 27, (1978), 1-6.

  3. C. Bardaro – C. Gori Cocchieri Sull’estensione di un teorema di E. Baiada alle multifunzioni Atti Sem. Mat. Fis Univ. Modena, 28, (1979), 1-8.

  4. C. Bardaro – C. Gori Cocchieri Proprietà di alcune seminorme del secondo ordine Atti Accad. Sci. Lett. Arti di Palermo, 38, (1978-79), 231-242.

  5. C. Bardaro Nuclei, derivata simmetrica e perimetro di una misura Atti Sem. Mat. Fis. Univ. Modena, 28, (1979), 373-386.

  6. C. Bardaro Sulla derivazione relativamente ad una funzione continua per applicazioni a valori in uno spazio di Banach Atti Sem. Mat. Fis. Univ. Modena, 29, (1980), 320-327.

  7. C. Bardaro – D. Candeloro Teoremi di approssimazione per l’integrale multiplo del Calcolo delle Variazioni Rend. Circ. Mat. Palermo, 30, (1981), 63-82.

  8. C. Bardaro La disuguaglianza generalizzata di Steiner per funzionali sublineari su misure Atti Sem. Mat. Fis. Univ. Modena, 30, (1981), 114-130.

  9. C. Bardaro – C. Garzi Alcune osservazioni sulla m-variazione in spazi di Banach Istituto Lombardo (Rend. Sci), A 116, (1982), 327-341.

  10. C. Bardaro Alcuni teoremi di convergenza per l’integrale multiplo del Calcolo delle Variazioni Atti Sem. Mat. Fis. Univ. Modena, 31, (1982), 302-324.

  11. C. Bardaro – P. Pucci Some contributions to the theory of multivalued differential equations Atti Sem. Mat. Fis. Univ. Modena, 32, (1983), 175-202.

  12. C. Bardaro Sull’integrale singolare di Ostrowski Atti Sem. Mat. Fis, Univ. Modena, 32, (1983), 357-366.

  13. C. Bardaro – C. Gori Cocchieri Sul grado di approssimazione per una classe di integrali singolari Rend. Mat. Appl. 4, (1984), 481-490.

  14. C. Bardaro Sulla convergenza dei momenti ponderati Unpublished manuscript 1983, Technical Report nr. 24/2000, Department of Mathematics and Informatics, University of Perugia.

  15. C. Bardaro On approximation properties for some classes of linear operators of convolution type Atti Sem. Mat. Fis. Univ. Modena, 33, (1984), 329-356.

  16. C. Bardaro – C. Gori Cocchieri Sull’approssimazione di una funzione con integrali singolari Rend. Mat. App. 5, (1985), 309-317.

  17. C. Bardaro Indipendenza dal peso della convergenza di funzionali sublineari su misure vettoriali ed applicazioni Rend. Ist. Mat. Univ. Trieste, 19, (1987), 44-63.

  18. C. Bardaro Una caratterizzazione degli spazi di Banach normati in senso forte e la variazione di funzioni a valori vettoriali Atti Sem. Mat. Fis. Univ. Modena, 35, (1987), 43-46.

  19. C. Bardaro – R. Ceppitelli Minimax inequalities in Riesz spaces Atti Sem. Mat. Fis. Univ. Modena, 35, (1987), 63-70.

  20. C. Bardaro – G. Vinti Perimetro e variazione generalizzata rispetto ad una misura in R2 Atti Sem. Mat. Fis. Univ. Modena, 35, (1987), 173-190.

  21. C. Bardaro – R. Ceppitelli Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities J. Math. Anal. Appl., 132, (1988), 484-490.

  22. C. Bardaro – G. Vinti Integral operators on vector measures and applications to moment kernel Rend. Mat. Appl. 8, (1988), 149-164.

  23. C. Bardaro – R. Ceppitelli Applications of the generalized Knaster-Kuratowski-Mazurkiewicz theorem to variational inequalities J. Math. Anal. Appl., 137, (1989), 46-84.

  24. C. Bardaro –G. Vinti Modular convergence in generalized Orlicz spaces for moment type operators Applicable Analysis, 32, (1989), 265-276.

  25. C. Bardaro – R. Ceppitelli Fixed point theorems and vector-valued minimax theorems J. Math. Anal. Appl., 146, (1990), 369-373.

  26. C. Bardaro – G. Vinti On approximation properties of certain non convolution integral operators J. Approx. Theory, 62, (1990), 358-371.

  27. C. Bardaro – G. Vinti On convergence of moment operators with respect to f-variation Applicable Analysis, 41, (1991), 247-256.

  28. C. Bardaro – G. Vinti Modular estimates of integral operators with homogeneous kernel in Orlicz type classes Results in Math., 19, (1991), 46-53.

  29. C. Bardaro – G. Vinti Some estimates of certain integral operators with respect to multidimensional Vitali f-variation and applications in fractional calculus Rend. Mat. Appl., 11, (1991), 405-416.

  30. C. Bardaro – G. Vinti Some estimates of certain integral operators in generalized fractional Orlicz classes Numer. Funct. Anal. Optimiz., 12, (1991), 443-453.

  31. C. Bardaro Proprietà base delle funzioni a variazione limitata Atti Sem. Mat. Fis. Univ. Modena, 51, (1993), 287-302.

  32. C. Bardaro – R. Ceppitelli Some generalizations in H-modular spaces of Fan’s best approximation theorem J. Australian Math. Soc., 56, (1994), 291-302.

  33. C. Bardaro – G. Vinti A general convergence theorem with respect to Cesari variation and applications J. Nonlinear Analysis, Theory and Appl, 22, (1994), 505-518.

  34. C. Bardaro – G. Vinti Modular convergence theorem in fractional Musielak-Orlicz spaces Zeitschrift fur Analysis und ihre Anwendungen, 13, (1994), 155-170.

  35. C. Bardaro – J. Musielak – G. Vinti Modular estimates and modular convergence for a class of nonlinear operators Math. Japonica, 39, (1994), 7-14.

  36. C. Bardaro – J. Musielak – G. Vinti On absolute continuity of a modular connected with strong summability Comment. Math., 34, (1994), 21-33.

  37. C. Bardaro – R. Ceppitelli A general best approximation theorem with applications in H-metrizable spaces Atti Sem. Mat. Fis. Univ. Modena, 43, (1995), 33-40.

  38. C. Bardaro – G. Vinti Some inclusion theorems in Orlicz and Musielak-Orlicz type spaces Annali Mat. Pura e Appl., 168, (1995), 189-203.

  39. C. Bardaro – G. Vinti Modular estimates for linear for linear integral operators in Musielak-Orlicz spaces on groups Atti Sem. Mat. Fis. Univ. Modena, 43, (1995), 483-490.

  40. C. Bardaro – G. Vinti Modular estimates and modular convergence for linear integral operators Mathematical Analysis, Wavelets, and Signal Processing”, Int. Conf. In Honor of Professor P.L. Butzer, Cairo, January 3-9, 1994, Contemporary Math., 190, (1995), 95-105.

  41. C. Bardaro – G. Vinti Modular approximation by nonlinear integral operators on locally compact groups Comment. Math., 35, (1995), 25-47.

  42. C. Bardaro – J. Musielak – G. Vinti Approximation by nonlinear integral operators in some modular function spaces Annales Polonici Math., 53, (1996), 173-182.

  43. C. Bardaro –I. Mantellini A modular convergence theorem for general nonlinear integral operators Comment. Math., 36, (1996), 27-37.

  44. C. Bardaro – J. Musielak – G. Vinti On the definition and properties of a general modulus of continuity in some functional spaces Math. Japonica, 43, (1996), 445-450.

  45. C. Bardaro – J. Musielak – G. Vinti Nonlinear operators of integral type in some functional spaces Collectanea Math., 48, (1997), 409-422.

  46. C. Bardaro – G. Vinti A modular convergence theorem for certain nonlinear integral operators with homogeneous kernel Collectanea Math., 48, (1997), 393-407.

  47. C. Bardaro – G. Vinti A general approach to the convergence theorems of generalized sampling series Applicable Analysis, 64, (1997), 203-217.

  48. C. Bardaro – J. Musielak – G. Vinti On nonlinear integral operators in spaces Lfg Comment. Math., 37, (1997), 23-36.

  49. C. Bardaro – I. Mantellini Modular approximation by sequences of nonlinear integral operators in Musielak-Orlicz spaces Atti Sem. Mat. Fis. Univ. Modena, special issue dedicated to Professor Calogero Vinti, suppl. vol. 46, (1998), 403-425.

  50. C. Bardaro – J. Musielak – G. Vinti On the ergodic theorem in some spaces of random variables J. Nonlinear Analysis, Theory, Appl., 33, (1998), 359-365.

  51. C. Bardaro – G. Vinti On the order of modular approximation for nets of integral operators in modular Lipschitz classes Functiones & Approximatio, special issue dedicated to Professor J. Musielak, 26, (1998), 139-154.

  52. C. Bardaro – J. Musielak – G. Vinti Some modular inequalities related to Fubini-Tonelli theorem Proc. of A. Razmadze Math. Inst., Georgia, 118, (1998), 3-19.

  53. C. Bardaro – G. Vinti Uniform convergence and rate of approximation for a nonlinear version of the generalized sampling operator Results in Math., special issue dedicated to Professor P.L. Butzer, 34, (1998), 224-240.

  54. C. Bardaro - G. Vinti The contribution of J. Musielak research to the theory of nonlinear integral operators in “Viro docto atque iusto Juliano Musielak”, mathematical papers dedicated to Professor Julian Musielak, Jubilee Session, A Mickiewicz University, Poznan, 1999, H. Hudzik and M. Jaroszewska Eds.

  55. C. Bardaro The Work of Calogero Vinti in Approximation Theory and its impact in Calculus of Variations Applicable Analysis, 75, (2000), 137-155.

  56. C. Bardaro – I. Mantellini Linear integral operators with homogeneous kernel: approximation properties in modular spaces. Applications to Mellin-type operators and to some classes of fractional operators Applied Math. Rev., vol I, World Scientific Publ., Ed. G. Anastassiou, (2000), 45-67.

  57. C. Bardaro – G. Vinti Nonlinear integral operators in modular Lipschitz classes: rates of modular convergence in Function Spaces: The Fifth Conference, H. Hudzik, L. Skrzypczak, New York: Marcel Dekker, 2000, pp.71-84.

  58. C. Bardaro – J. Musielak – G. Vinti On nonlinear integro-differential operators in generalized Orlicz-Sobolev spaces J. Approx. Theory, 105, (2000), 238-251.

  59. C. Bardaro – G. Vinti Nonlinear sampling type operators: uniform and modular approximation results in Sampta 99, Proceedings of the 1999 Int. Workshop on “Sampling Theory and Appl.”, August 11-14, 1999, Loen, Norway, Norvegian University.

  60. C. Bardaro – G. Vinti Nonlinear sampling type operators: approximation properties and regular methods of summability Nonlinear Analysis Forum, 6(1), (2001), 15-26, (Special issue on Nonlinear Analysis and Appl., St. John's, Canada, 1999).

  61. C. Bardaro – J. Musielak – G. Vinti Approximation by Riemann sums in modular spaces Hokkaido Math. Journal, 30, (2001), 1-15.

  62. C. Bardaro - G. Vinti On some class of integral operators in modular spaces Far East J.Math. Sci., special volume (Functional Analysis and its Applications) Part II, (2001), 129-154.

  63. C. Bardaro – G. Vinti Urysohn integral operators with homogeneous kernel: approximation properties in modular spaces Commentationes Math., 42 (2), (2002), 126-163.

  64. C.Bardaro - J. Musielak - G. Vinti On nonlinear integral equations in some function spaces, Demonstratio Math., 35, (2002), 583-592.

  65. C. Bardaro - I. Mantellini On a singularity concept for kernels of nonlinear integral operators, Intern. Math. Journal, 1 (no.3), (2002), 239-254.

  66. C.Bardaro - S.Sciamannini - G.Vinti Convergence in BVf by nonlinear Mellin-type convolution operators, Functiones et Approximatio, 29, (2001), 17-28.

  67. C.Bardaro - I.Mantellini On approximation properties of Urysohn integral operators Intern. Journal Pure and Appl. Math., 3, (2002), 129-148.

  68. C.Bardaro - I.Mantellini On reconstruction of functions by means of nonlinear discrete operators J. Concrete and Appl. Math., 1,(2003), 301-313.

  69. C.Bardaro - P.L. Butzer - R.L. Stens - G. Vinti Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals, Analysis (Munich), 23 (4), (2003), 299-346.

  70. C.Bardaro - I. Mantellini On some estimates for general sampling operators and approximation properties, Int. Journal of Math. Sci, 2 (2), (2003), 289-326.

  71. C. Bardaro - G. Vinti An abstract approach to sampling type operators inspired by the work of P.L. Butzer. Part I- Linear operators Sampling Theory in Signal and Image Processing, 2(3), (2003), 271-296.

  72. C. Bardaro - G. Vinti An abstract approach to sampling type operators inspired by the work of P.L. Butzer. Part II- Nonlinear operators Sampling Theory in Signal and Image Processing, 3(1), (2004), 29-44.

  73. C.Bardaro - I. Mantellini Regular methods of summability and abstract Urysohn type operators Int. J. Pure Appl. Math., 12 (3), (2004), 335-359.

  74. C.Bardaro - G. Vinti On the order of BVf-approximation of convolution integral operators over the line group, Commentationes Math., Tomus Specialis in honorem Iuliani Musielak, (2004), 47-63.

  75. C.Bardaro - I. Mantellini Approximation properties in abstract modular spaces for a class of sampling-type operators, Applicable Analysis, 85 (4), (2006), 383-413.

  76. C.Bardaro - P.L. Butzer - R.L. Stens - G. Vinti Approximation error of the Whittaker Cardinal Series in terms of an Averaged Modulus of Smoothness Covering Discontinuous Signals, J. Math. Anal. Appl., 316 (2006), 269-306.

  77. C.Bardaro - I. Mantellini Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces, Math. Slovaca, 56 (4), (2006), 465-482.

  78. C.Bardaro - I. Mantellini On global approximation properties of abstract integral operators operators in Orlicz spaces and applications Journal of Inequalities in Pure and Applied Mathematics (electronic), 6(4), Article 123,(2005)

  79. C.Bardaro - I. Mantellini Estimates and superpositions of general nonlinear sampling operators and applications Communications on Applied Nonlinear Analysis, 13(2), (2006), 1-36

  80. C.Bardaro - G. Vinti Approximation of multivariate functions of bounded variation by means of linear convolution operators Varahmihir J. Math. Sci., 6(2),(2006), 393-404. Special issue dedicated to Professor S.P. Singh.

  81. C.Bardaro - P.L. Butzer -R.L. Stens - G. Vinti Kantorovich-type generalized sampling series in the setting of Orlicz spaces Sampling Theory in Signal and Image Processing, 6 (1), (2007), 29-52.

  82. C.Bardaro - I. Mantellini Estimates of the approximation error for abstract sampling type operators in Orlicz spaces. , Functiones et Approximatio, 36, (2006), 1-26.

  83. C.Bardaro - I. Mantellini Pointwise convergence theorems for nonlinear Mellin convolution operators , Int.J.Pure Appl. Math., 27(4), (2006), 431-447.

  84. C.Bardaro - I. Mantellini Voronovskaya type estimates for Mellin convolution operators , Results in Mathematics, 50(1-2), (2007), 1-16.

  85. C.Bardaro - I. Mantellini Korovkin's theorem in modular spaces , Commentationes Math.,47(2),(2007), 239-253.

  86. C.Bardaro- H. Karsli- G. Vinti On pointwise convergence of linear integral operators with homogeneous kernels , Integral Transforms and Special Functions, 19(6),(2008),429-439.

  87. C.Bardaro - I. Mantellini Multivariate moment type operators: approximation properties in Orlicz spaces, Journal of Mathematical Inequalities, 2(2),(2008),247-259.

  88. C.Bardaro - I. Mantellini A Voronovskaya-type theorem for a general class of discrete operators , Rocky Mountain Journal Math., 39(5), (2009), 1411-1442.

  89. C.Bardaro - P.L. Butzer -R.L. Stens - G. Vinti Prediction by samples from the past with error estimates covering discontinuous signals" , IEEE Transactions on Information Theory, 56(1), (2010), 614-633.

  90. C.Bardaro - I. Mantellini Asymptotic formulae for bivariate Mellin convolution operators , "Analysis in Theory and Applications", 24(4) (2008), 377-394.

  91. C.Bardaro- H. Karsli- G. Vinti Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems, Applicable Analysis, 90(3-4), (2011), 463-474.

  92. C.Bardaro - I. Mantellini Korovkin theorem in multivariate modular function spaces", Journal of Function Spaces and Application, 7(2), (2009), 105-120.

  93. C.Bardaro - I. Mantellini Asymptotic formulae for bivariate discrete operators. Applications to generalized sampling series and Szasz-Mirak'jan operators", PanAmerican Math. J., 20(1), (2010), 1-21

  94. C.Bardaro - I. Mantellini A quantitative Voronovskaja formula for generalized sampling operators", East Journal on Approximations, 15(4), (2009), 429-441.

  95. C.Bardaro - I. Mantellini Generalized sampling approximation of bivariate signals: rate of pointwise convergence, Numer. Funct. Anal. Optimiz., 31(2), (2010), 131-154.

  96. C.Bardaro - I. Mantellini A quantitative Voronovskaya formula for Mellin convolution operators" Mediterranean J. Math., 7(4), (2010), 483-501.

  97. C. Bardaro - I. Mantellini Voronovskaja formulae for Kantorovich type generalized sampling series, Int. J. Pure Appl. Math., 62(3), (2010), 247-26

  98. C. Bardaro - I. Mantellini Asymptotic formulae for multivariate Kantorovich type generalized sampling series, Acta Mathematica Sinica (English series), 27(7), (2011), 1247-1258.

  99. C.Bardaro- I. Mantellini A quantitative asymptotic formula for a general class of discrete operators, Computer&Mathematics with Applications, 60, (2010), 2859-2870.

  100. C. Bardaro - I. Mantellini Bivariate Mellin convolution operators: quantitative approximation theorems, Mathematical and Computer Modelling, 53 (2011), 1197-1207.
    .
  101. C. Bardaro - I. Mantellini On the moments of bivariate Mellin-Picard type kernels and applications, Integral Transforms and Special Functions, 23(2) (2012), 135-148.

102. C. Bardaro - I. Mantellini A note on the Voronovskaja theorem for Mellin-Fejer convolution operators, Applied Mathematics Letters, 24, (2011), 2064-2067.

103. C. Bardaro - I. Mantellini Asymptotic behaviour of Mellin-Fejer convolution operators, East Journal on Approximations, 17(2), (2011), 181-201.

104. C. Bardaro - I. Mantellini Approximation properties for linear combinations of moment type operators, "Computers and Mathematics with Applications, 62, (2011), 2304-2313.

105. C. Bardaro - I. Mantellini On convergence properties for a class of Kantorovich discrete operators, Numerical Functional Analysis and Optimization, 33(4), (2012), 374-396

106. C. Bardaro - I. Mantellini On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators, to appear in Appleied Mathematics and Computation, 2012.

107. C.Bardaro - I. Mantellini On the iterates of Mellin-Fejer convolution operators, to appear in Acta Applicandae Mathematicae, 2012.

 

 

MONOGRAPHS

  1. C. Bardaro - J. Musielak - G. Vinti Non linear integral operators and applications, De Gruytier Series in Nonlinear Analysis and Applications, Vol. 9, xii + 201 pp., 2003.


DIDACTICAL PUBLICATIONS

  1. C. Bardaro - C. Vinti Complementi ed esercizi di Analisi Matematica 2 Galeno Editrice, Perugia, 1996, 229 pp.

  2. C. Bardaro Metodi Matematici per l’ Ingegneria Rapporto Tecnico del Dipartimento di Matematica, Università di Perugia, nr. 3/1997, 118 pp.

  3. C. Bardaro Elementi di Analisi di Fourier e di Teoria dell’Approssimazione in Spazi Funzionali Rapporto Tecnico del Dipartimento di Matematica, Università di Perugia, nr. 3/1998, 82 pp.

  4. C.Bardaro Elementi di Analisi Matematica 2 , Margiacchi-Galeno Editrice, Perugia, 2005, 286 pp. Seconda Edizione: 290 pp., 2009.

  5. C.Bardaro Metodi Matematici per l'Ingegneria per l'Ambiente e il Territorio, dispense, Facoltà di Ingegneria dell'Università di Perugia, 2003, 50 pp.



mus22 HOME PAGE