Tauberian theorems for double sequences that are statistically summable \((C,1,1)\)

DOI10.1016/S0022-247X(03)00529-8zbMath1028.40002OpenAlexW2054761823MaRDI QIDQ1413183

Ferenc Móricz

Publication date: 16 November 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00529-8

zbMATH Keywords

Cesàro meansstatistical convergencedouble sequencesTauberian resultsPringshein convergencestatistical slow oscillation

Mathematics Subject Classification ID

Tauberian theorems (40E05)

Related Items (12)

Korovkin-Type Approximation Theorem for Functions of Two Variables Via Statistical Summability (C, 1, 1) ⋮ Statistical extensions of some classical Tauberian theorems for Cesàro summability of triple sequences ⋮ Tauberian theorems for Cesàro summability of nth sequences ⋮ Tauberian conditions under which the original convergence of double sequences follows from the statistical convergence of their weighted means ⋮ Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem ⋮ Some inequalities related to the concept of double statistical summability ⋮ Approximation via statistical $K_{a}^{2}$-convergence on two-dimensional weighted spaces ⋮ Korovkin-type approximation theorem for double sequences of positive linear operators via statistical \(A\)-summability ⋮ Statistical approximation for periodic functions of two variables ⋮ A Tauberian theorem for ideal statistical convergence ⋮ Tauberian theorems for statistically \((C, 1, 1)\) summable double sequences ⋮ Tauberian theorems for the statistical convergence and the statistical (C,1,1) summability

Cites Work

• Statistical convergence of multiple sequences
• Tauberian conditions, under which statistical convergence follows from statistical summability \((C,1)\)
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Statistical extensions of some classical Tauberian theorems
• Sur la convergence statistique

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