Work

A Tauberian theorem for the logarithmic summability in ordered spaces

Year: 2024

Type: article

Abstract: The present manuscript aims to extend a Tauberian theorem previously established for the Cesàro and weighted mean summability methods of single sequences in ordered spaces to the logarithmic summability method, also known as the (ℓ,1,1) method, for double sequences. In order to achieve this, we present several Tauberian conditions which address the O_L-oscillatory behavior of a double sequence (s_mn ) with respect to logarithmic summability in certain senses. These conditions facilitate the transition from (ℓ,1,1), (ℓ,1,0), and (ℓ,0,1) summability to P-convergence in ordered spaces.

Source: Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

DOI: 10.25092/baunfbed.1556267

Author: Zerrin Önder Şentürk

Institution: Yaşar University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405260971

FWCI:

Cites: 21

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Related to: 10