On statistical \(A\)-summability

DOI10.1016/j.mcm.2008.05.053zbMath1182.40004OpenAlexW1989608403MaRDI QIDQ2389954

Osama H. H. Edely, Mohammad Mursaleen

Publication date: 20 July 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.05.053

zbMATH Keywords

statistical convergencecore theoremsstatistical \(A\)-summability\(A\)-summability

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Ideal and statistical convergence (40A35)

Related Items

Statistical weighted \(A\)-summability with application to Korovkin's type approximation theorem, ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY, A Sequence Space and Uniform $$(A,\varphi )$$—Statistical Convergence, Statistical approximation for new positive linear operators of Lagrange type, Statistical convergence in a paranormed space, Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem, Statistical weighted \((N_\lambda,p,q)(E_\lambda,1)\) \(A\)-summability with application to Korovkin's type approximation theorem, Statistical convergence through de la Vallée-Poussin mean in locally solid Riesz spaces, Approximation by Szász‐Chlodowsky type operators associating 2D‐Appell polynomials, A note on strong matrix summability via ideals, Korovkin second theorem via \(B\)-statistical \(A\)-summability, A new variant of statistical convergence, Unnamed Item, Unnamed Item, Korovkin type approximation theorem for functions of two variables through statistical \(A\)-summability, \(A\)-cluster points via ideals, Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems, Unnamed Item, Logarithmic density and logarithmic statistical convergence, Generalized statistical convergence of difference sequences, Some approximation results for generalized Kantorovich-type operators, Statistical \(A\)-summability of positive linear operators, Statistical lacunary summability and a Korovkin type approximation theorem, \(\lambda\)-statistical convergence in paranormed space, Extremal \(A\)-statistical limit points via ideals, Unnamed Item, Relatively uniform weighted summability based on fractional-order difference operator, On statistical \(\mathfrak{A} \)-Cauchy and statistical \(\mathfrak{A} \)-summability via ideal, On the invariant mean and statistical convergence, Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties

Cites Work

• Unnamed Item
• Unnamed Item
• Matrix transformation and statistical convergence
• Statistical core theorems
• Densities and summability
• Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
• Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
• Statistical Limit Points
• The Integrability of Certain Functions and Related Summability Methods
• A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
• A Class of Statistical and σ-Conservative Matrices
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Matrix Summability of Statistically Convergent Sequences
• Statistical limit superior and limit inferior
• A-STATISTICAL CORE OF A SEQUENCE
• MATRIX TRANSFORMATIONS OF STATISTICAL CORES OF COMPLEX SEQUENCES
• Sur la convergence statistique