A general approximation approach for the simultaneous treatment of integral and discrete operators

DOI10.1515/ans-2017-6038zbMath1403.41005arXiv1711.09230OpenAlexW2963001588MaRDI QIDQ1632063

Luca Zampogni, Gianluca Vinti

Publication date: 12 December 2018

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09230

zbMATH Keywords

Orlicz spacesconvolution operatorsmodular convergencesampling Kantorovich operatorsapproximation by operatorsDurrmeyer generalized sampling serieslocally compact Hausdorff topological groups

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (7)

Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Quantitative estimates for sampling type operators with respect to the Jordan variation ⋮ A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods ⋮ An Inverse Result of Approximation by Sampling Kantorovich Series ⋮ Extension of saturation theorems for the sampling Kantorovich operators ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ A general method to study the convergence of nonlinear operators in Orlicz spaces

Cites Work

• Approximation by max-product neural network operators of Kantorovich type
• Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators
• Order of approximation for sampling Kantorovich operators
• Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
• A characterization of absolute continuity by means of Mellin integral operators
• A unifying approach to convergence of linear sampling type operators in Orlicz spaces
• The sampling theorem for functions with limited multi-band spectrum. I
• Orlicz spaces and modular spaces
• Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
• The sampling theorem and linear prediction in signal analysis
• A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer
• Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions
• Improper integrals, simple integrals, and numerical quadrature
• A sharp form of an embedding into exponential and double exponential spaces.
• Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
• Approximation Results for a General Class of Kantorovich Type Operators
• Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces
• Five short stories about the cardinal series
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Reconstruction Algorithms in Irregular Sampling
• Convergence results for a family of Kantorovich max-product neural network operators in a multivariate setting
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing
• Applications of sampling Kantorovich operators to thermographic images for seismic engineering
• Note on the class LlogL
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A general approximation approach for the simultaneous treatment of integral and discrete operators