Lacunary Arithmetic convergence

2016/11/20 by Taja Yaying, Bipan Hazarika, Yaying, Taja +1
Mathematics · #40A99 #46A99 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Primary 40A05 #Secondary 46A70

paper · pdf · doi:10.48550/arxiv.1611.07907

openalex publication_date 2016/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we introduce and study the lacunary arithmetic convergent sequence space AC_θ. Using the idea of strong Cesàro summable sequence and arithmetic convergence we define AC_σ1 and study the relations between AC_θ and AC_σ1. Finally using modulus function we define AC_θ(f) and study some interesting results.

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