Korovkin type approximation theorems for weighted $$\alpha \beta $$ α β -statistical convergence

DOI10.1007/s13373-015-0065-yzbMath1317.41006OpenAlexW2028510325WikidataQ59430876 ScholiaQ59430876MaRDI QIDQ5258603

Vatan Karakaya, Ali Karaisa

Publication date: 23 June 2015

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13373-015-0065-y

zbMATH Keywords

positive linear operatorKorovkin type theoremsrate of the weighted \(\alpha \beta\)-statistical convergentweighted \(\alpha \beta\)-summability

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)

Related Items (11)

Application of \(f\)-lacunary statistical convergence to approximation theorems ⋮ Stancu type generalization of \(q\)-Favard-Szàsz operators ⋮ Fibonacci statistical convergence and Korovkin type approximation theorems ⋮ Korovkin type approximation theorems proved viaweighted αβ-equistatistical convergence for bivariate functions ⋮ A General Korovkin Result Under Generalized Convergence ⋮ On the \({\alpha}{\beta}\)-statistical convergence of the modified discrete operators ⋮ Some characterizations on weighted \(\beta \gamma \)-statistical convergence of fuzzy functions of order \(\theta \) ⋮ On αβ-statistical convergence for sequences of fuzzy mappings and Korovkin type approximation theorem ⋮ Some properties of Baskakov-Schurer-Szász operators via power summability methods ⋮ Approximation by Durrmeyer type Jakimoski-Leviatan operators ⋮ Different types of quasi-weighted αβ-statistical convergence in probability

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• Approximation for periodic functions via weighted statistical convergence
• Über die verallgemeinerte de la Vallée-Poussinsche summierbarkeit allgemeiner Orthogonalreihen
• Sur la convergence statistique

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