Statistical probability convergence via the deferred Nörlund mean and its applications to approximation theorems
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Publication:2189983
DOI10.1007/s13398-020-00875-7zbMath1472.40008OpenAlexW3033864497MaRDI QIDQ2189983
Bidu Bhusan Jena, Susanta Kumar Paikray, Hari M. Srivastava
Publication date: 17 June 2020
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/s13398-020-00875-7
positive linear operatorBanach spacestatistical convergenceKorovkin-type theoremsequence of random variablesdeferred Nörlund statistical probability convergencestatistical probability convergence
Convergence and divergence of series and sequences of functions (40A30) Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)
Related Items (10)
A new generalized version of Korovkin-type approximation theorem ⋮ On \(\mu\)-deferred \(I_2\)-statistical convergence of double sequence of complex uncertain variables ⋮ Some Korovkin type approximation applications of power series methods ⋮ Applications of statistically probability convergence to approximation theorem ⋮ Approximation via statistical measurable convergence with respect to power series for double sequences ⋮ Statistical Tauberian theorems for Cesàro integrability mean based on post-quantum calculus ⋮ On \(\mu \)-deferred statistical convergence and strongly deferred summable functions ⋮ Nonlinear approximation in \(N\)-dimension with the help of summability methods ⋮ Approximation via equi-statistical convergence in the sense of power series method ⋮ Almost λ-Statistical Convergence of Complex Uncertain Sequences
Cites Work
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- Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem
- Statistical summability \((C,1)\) and a Korovkin type approximation theorem
- Weighted statistical convergence and its application to Korovkin type approximation theorem
- A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
- \(\Lambda^{2}\)-weighted statistical convergence and Korovkin and Voronovskaya type theorems
- Statistical convergence in probability for a sequence of~random functions
- Statistical deferred weighted \(\mathcal{B}\)-summability and its applications to associated approximation theorems
- A note on certain operational representations for the Laguerre polynomials
- New approaches to certain identities involving differential operators
- On deferred Cesaro means
- Deferred weighted \(\mathcal{A}\)-statistical convergence based upon the \((p, q)\)-Lagrange polynomials and its applications to approximation theorems
- Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems
- Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
- Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
- Relatively equi-statistical convergence via deferred Nörlund mean based on difference operator of fractional-order and related approximation theorems
- On various new concepts of statistical convergence for sequences of random variables via deferred Cesàro mean
- Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems
- On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by deferred Nörlund mean
- Statistically and relatively modular deferred-weighted summability and Korovkin-type approximation theorems
- Statistical convergence of order \(\alpha\) in probability
- The generalization of Meyer-König and Zeller operators by generating functions
- Operational representations for the Laguerre and other polynomials
- A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
- Lacunary statistical convergence and strongly lacunary summable functions of order α
- A certain class of statistical probability convergence and its applications to approximation theorems
- Statistical deferred Cesàro summability and its applications to approximation theorems
- A certain class of deferred weighted statistical B-summability involving (p,q)-integers and analogous approximation theorems
- On Statistical Deferred Cesàro Summability
- Statistical Deferred Riesz Summability Mean and Associated Approximation Theorems for Trigonometric Functions
- Product of statistical probability convergence and its applications to Korovkin-type theorem
- On Statistical Deferred Weighted $$\mathcal {B}$$ B -Convergence
- Sur la convergence statistique
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