ABSTRACT KOROVKIN THEOREMS VIA RELATIVE MODULAR CONVERGENCE FOR DOUBLE SEQUENCES OF LINEAR OPERATORS

DOI10.22190/FUMI2003561YzbMath1488.40038OpenAlexW3096249099MaRDI QIDQ5010198

Kamil Demirci, Sevda Yıldız

Publication date: 24 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2003561y

zbMATH Keywords

modular spacesKorovkin-type approximationnon-positive operatorsstatistical relative convergence

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Modular spaces (46A80) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05)

Cites Work

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• Statistically relatively uniform convergence of positive linear operators
• Korovkin-type theorems for abstract modular convergence
• Abstract Korovkin-type theorems in modular spaces and applications
• A Korovkin theorem in multivariate modular function spaces.
• Triangular \(A\)-statistical approximation by double sequences of positive linear operators
• Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence

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