Statistical relative \(\mathcal{A}\)-summation process for double sequences on modular spaces

DOI10.1007/S13398-017-0418-3zbMath1400.41015OpenAlexW2740823784MaRDI QIDQ1800626

Kamil Demirci, Burçak Kolay, Sevda Orhan

Publication date: 24 October 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0418-3

zbMATH Keywords

statistical convergencedouble sequencesmodular spacesmatrix summabilitypositive linear operators

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) Linear operators on function spaces (general) (47B38) Approximation by positive operators (41A36)

Related Items (3)

Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences ⋮ Approximation via equi-statistical convergence in the sense of power series method ⋮ $\mathcal{F-}$relative $\mathcal{A-}$summation process for double sequences and abstract Korovkin type theorems

Cites Work

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• Relative modular convergence of positive linear operators
• Convergence of positive linear approximation processes
• Orlicz spaces and modular spaces
• Statistical boundedness and statistical core of double sequences
• A Korovkin theorem in multivariate modular function spaces.
• Statistical approximation by positive linear operators on modular spaces
• Quantitative theorems on linear approximation processes of convolution operators in Banach spaces
• Korovkin-type approximation theory and its applications
• Statistical convergence of multiple sequences
• A-statistical relative modular convergence of positive linear operators
• Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces
• Statistical \(\mathcal{A}\)-summation process and Korovkin type approximation theorem on modular spaces
• Statistical approximation by double sequences of positive linear operators on modular spaces
• Statistical relative approximation on modular spaces
• A-summation process and Korovkin-type approximation theorem for double sequences of positive linear operators
• Approximation properties in abstract modular spaces for a class of general sampling-type operators
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Uniformly summable double sequences

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