Riesz lacunary uniform integrability and statistical convergence via power series method

Riesz lacunary uniform integrability and statistical convergence via power series method

Abstract In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied. Fundamental relationships among these notions are established...

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Bibliographic Details
Main Authors: Jun-Jie Quan, Devia Narrania, Kuldip Raj, Qing-Bo Cai
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of Inequalities and Applications
Subjects:
Statistical convergence
Power series method
Uniform integrability
Lacunary sequence
Riesz mean
Online Access:https://doi.org/10.1186/s13660-025-03316-4
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https://doi.org/10.1186/s13660-025-03316-4

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