Approximation via statistical convergence in the sense of power series method of Bögel-type continuous functions

DOI10.1134/S1995080222120095OpenAlexW4312455598MaRDI QIDQ2680667

Sevda Yıldız, Fadime Dirik, Kamil Demirci

Publication date: 4 January 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222120095

zbMATH Keywords

positive linear operatordouble sequencesKorovkin theorem\(B\)-continuity\(P_p\)-statistical convergence

Mathematics Subject Classification ID

Convergence and divergence of infinite limiting processes (40Axx) Approximations and expansions (41Axx) Direct theorems on summability (40Dxx)

Related Items (1)

A neural networks-based numerical method for the generalized Caputo-type fractional differential equations

Cites Work

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• Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions
• Statistical approximation to Bögel-type continuous and periodic functions
• Über die mehrdimensionale Differentiation
• Korovkin-type approximation theory and its applications
• Tauberian theorems for power series methods applied to double sequences
• Some approximation theorems via statistical convergence.
• Statistical convergence of multiple sequences
• A Korovkin-type theorem for double sequences of positive linear operators via power series method
• Approximation via equi-statistical convergence in the sense of power series method
• \(P\)-statistical summation process of sequences of convolution operators
• Approximation via power series method in two-dimensional weighted spaces
• Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems
• Statistical approximation by double sequences of positive linear operators on modular spaces
• Abel convergence of the sequence of positive linear operators in \(L_{p,q}(\mathrm{loc})\)
• Korovkin theory via \(P_p\)-statistical relative modular convergence for double sequences
• Approximation in statistical sense to B -continuous functions by positive linear operators
• A test function theorem and apporoximation by pseudopolynomials
• Statistical Convergence with Respect to Power Series Methods and Applications to Approximation Theory
• Sur la convergence statistique
• Approximation by statistical convergence with respect to power series methods
• Consistency theory for SM-methods

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