Rates of approximation for general sampling-type operators in the setting of filter convergence

DOI10.1016/j.amc.2013.12.044zbMath1364.41009OpenAlexW2115295551MaRDI QIDQ530031

Xenofon Dimitriou, Antonio Boccuto

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.044

zbMATH Keywords

rate of convergenceintegral operatorfiltermodular spaceUrysohn operator(modular) filter convergenceMellin convolution operatorsampling operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

Korovkin-type theorems for abstract modular convergence ⋮ Approximation by sampling type discrete operators ⋮ Triangular \(A\)-statistical approximation by double sequences of positive linear operators ⋮ Approximation by pseudo-linear discrete operators ⋮ Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence ⋮ Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic formulae for linear combinations of generalized sampling operators
• Abstract Korovkin-type theorems in modular spaces and applications
• On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators
• A note on the Voronovskaja theorem for Mellin-Fejér convolution operators
• On the iterates of Mellin-Fejer convolution operators
• Orlicz spaces and modular spaces
• Rate of approximation for nonlinear integral operators with application to signal processing
• Rates of ideal convergence for approximation operators
• A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer
• Uniform convergence and rate of approximation for a nonlinear version of the generalized sampling operator
• Modular convergence theorems for integral operators in the context of filter exhaustiveness and applications
• Modular filter convergence theorems for Urysohn integral operators and applications
• On a family of Halley-like methods to find simple roots of nonlinear equations
• On Mellin convolution operators: a direct approach to the asymptotic formulae
• The moments of the bivariate Mellin–Picard-type kernels and applications
• A general approximation result for nonlinear integral operators and applications to signal processing^*
• Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
• Modular estimates for nonlinear integral operators and applications in fractional calculus
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• Approximation properties in abstract modular spaces for a class of general sampling-type operators
• On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators
• Modular filter convergence theorems for abstract sampling type operators
• Reconstruction of signals inL^p(ℝ)-space by generalized sampling series based on linear combinations ofB-splines†
• Sur la convergence statistique

This page was built for publication: Rates of approximation for general sampling-type operators in the setting of filter convergence