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Mat. Zametki, 2023 Volume 114, Issue 6, Pages 1322–1327 (Mi mzm14286)

Equivalence Theorem for Absolute Matrix Summability Methods

H. N. Özgen

Department of Mathematics, Faculty of Education, Mersin University, Mersin, 33169, Turkey

Abstract: In this paper, we obtain necessary and sufficient conditions for the equivalence of two matrix summability methods. Some known results are also presented.

Keywords: summability factor, absolute matrix summability, infinite series, Hölder inequality, Minkowski inequality.

Received: 07.07.2023
Revised: 25.10.2023

Language: English


 English version:
Mathematical Notes, 2023, 114:6, 1322–1327

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© Steklov Math. Inst. of RAS, 2024