Approximation by Multivariate Generalized Sampling Kantorovich Operators in the Setting of Orlicz Spaces

[1]  R. L. Stens,et al.  Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview , 1992, SIAM Rev..

[2]  Carlo Bardaro,et al.  Nonlinear integral operators and applications , 2003 .

[3]  J. R. Higgins,et al.  Five short stories about the cardinal series , 1985 .

[4]  Victor Katsnelson,et al.  The Sampling Theorem for Functions with Limited Multi-Band Spectrum I , 1993 .

[5]  R. L. Stens,et al.  The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines , 1986 .

[6]  Modular convergence in generalized orlicz spaces for moment type operators , 1989 .

[7]  Carlo Bardaro,et al.  An abstract approach to sampling type operators inspired by the work of P.L. Butzer. Part I- Linear Operators , 2003 .

[8]  Paul L. Butzer,et al.  Linear Prediction by Samples from the Past , 1993 .

[9]  Paul L. Butzer,et al.  Approximation of continuous and discontinuous functions by generalized sampling series , 1987 .

[10]  Vinti Gianluca,et al.  A general approach to the convergence theorems of generalized sampling series , 1997 .

[11]  Paul L. Butzer,et al.  Fourier analysis and approximation , 1971 .

[12]  Ilaria Mantellini,et al.  Approximation results for nonlinear integral operators in modular spaces and applications , 2003 .

[13]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[14]  Paul L. Butzer,et al.  Shannon’s Sampling Theorem Cauchy’s Integral Formula, and Related Results , 1984 .

[15]  J. Musielak,et al.  On modular spaces , 1959 .

[16]  Gianluca Vinti,et al.  A unifying approach to convergence of linear sampling type operators in Orlicz spaces , 2011 .

[17]  C. Vinti A Survey on Recent Results of the Mathematical Seminar in Perugia, inspired by the Work of Professor P.L. Butzer , 1998 .

[18]  P. L. Butzer,et al.  Reconstruction of bounded signals from pseudo-periodic, irregularly spaced samples , 1989 .

[19]  Paul L. Butzer,et al.  Generalized sampling approximation of multivariate signals; theory and some applications , 1990 .