Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials
DOI10.1186/s13662-021-03326-8zbMath1494.41010OpenAlexW3164651350MaRDI QIDQ2166879
Toufik Mansour, Valdete Loku, Naim L. Braha, Mohammad Mursaleen
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03326-8
Szász operatorsstatistical convergenceKorovkin-type theoremKantorovich-type generalizationSheffer-type polynomialspower series summability methodVornovskaya-type theorem
Approximation by positive operators (41A36) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05) Ideal and statistical convergence (40A35) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)
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Cites Work
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- Statistical summability \((C,1)\) and a Korovkin type approximation theorem
- Weighted statistical convergence and its application to Korovkin type approximation theorem
- Statistical summability and approximation by de la Vallée-Poussin mean
- Tauberian theorems for \(J_ p\)-summability
- On certain families of generalized Nörlund methods and power series methods
- Some approximation theorems via statistical convergence.
- Korovkin type theorems for Cheney-Sharma operators via summability methods
- Approximation by positive linear operators in modular spaces by power series method
- Korovkin second theorem via \(B\)-statistical \(A\)-summability
- Convergence of \(\lambda\)-Bernstein operators via power series summability method
- Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method
- Korovkin type approximation theorem for functions of two variables through statistical \(A\)-summability
- Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
- A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
- A-Statistical convergence of approximating operators
- Some results concerning Mastroianni operators by power series method
- Some properties of Baskakov-Schurer-Szász operators via power summability methods
- Sur la convergence statistique
