Approximation for periodic functions via weighted statistical convergence

DOI10.1016/J.AMC.2013.02.024zbMath1294.42001OpenAlexW1991014599MaRDI QIDQ2451459

Yanyan Li

Publication date: 3 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.02.024

zbMATH Keywords

weighted statistical convergencepositive linear operatorsKorovkin type approximation theoremcontinuous \(2\pi\)-periodic functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)

Related Items (12)

Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem ⋮ Generalized weighted random convergence in probability ⋮ Stancu type generalization of \(q\)-Favard-Szàsz operators ⋮ Fibonacci statistical convergence and Korovkin type approximation theorems ⋮ Statistical weighted \((N_\lambda,p,q)(E_\lambda,1)\) \(A\)-summability with application to Korovkin's type approximation theorem ⋮ Weighted equi-statistical convergence of the Korovkin type approximation theorems ⋮ Strongly statistical convergence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Statistical \(e\)-convergence of double sequences and its application to Korovkin-type approximation theorem for functions of two variables ⋮ Statistical Deferred Riesz Summability Mean and Associated Approximation Theorems for Trigonometric Functions ⋮ Korovkin type approximation theorems for weighted $$\alpha \beta $$ α β -statistical convergence

Cites Work

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• Statistical lacunary summability and a Korovkin type approximation theorem
• Generalized equi-statistical convergence of positive linear operators and associated approximation theorems
• Korovkin second theorem via \(B\)-statistical \(A\)-summability
• STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Sur la convergence statistique

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