Work

Tauberian Theorem for General Matrix Summability Method

Year: 2024

Type: article

Abstract: In this paper, we prove certain Littlewood–Tauberian theorems for general matrix summability method by imposing the Tauberian conditions such as slow oscillation of usual as well as matrix generated sequence, and the De la Vallée Poussin means of real sequences. Moreover, we demonstrate \((\bar{N},p_{n})\) and \((C,1)\) – summability methods as the generalizations of our proposed general matrix method and establish an equivalence relation connecting them. Finally, we draw several remarks in view of the generalizations of some existing well-known results based on our results.

Source: Ural mathematical journal

DOI: 10.15826/umj.2024.2.008

Authors: Bidu Bhusan Jena, Priyadarsini Parida, Susanta Kumar Paikray

Institutions: Sri Sri University, Veer Surendra Sai University of Technology

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405869940

FWCI: 0.343

Cites: 24

Cited by: 1

Related to: 10