Korovkin-type theorems for abstract modular convergence

DOI10.1007/s00025-016-0536-9zbMath1440.40004arXiv2101.05341OpenAlexW2254464526MaRDI QIDQ287312

Xenofon Dimitriou, Antonio Boccuto

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05341

zbMATH Keywords

rate of convergencemodular spacefilter convergence(quantitative) Korovkin theorem(triangular) statistical convergenceaxiomatic convergence

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by positive operators (41A36) Ideal and statistical convergence (40A35)

Related Items

Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences ⋮ Abstract theorems on exchange of limits and preservation of (semi)continuity of functions and measures in the filter convergence setting ⋮ The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems ⋮ Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems ⋮ Abstract Korovkin theory for double sequences via power series method in modular spaces ⋮ Relative weighted almost convergence based on fractional-order difference operator in multivariate modular function spaces ⋮ A survey on recent results in Korovkin’s approximation theory in modular spaces ⋮ ABSTRACT KOROVKIN THEOREMS VIA RELATIVE MODULAR CONVERGENCE FOR DOUBLE SEQUENCES OF LINEAR OPERATORS ⋮ $\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems

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