Lacunary A–statistical convergence and lacunary strong A–convergence of order α with respect to a modulus

Şengül, Hacer; Arıca, Zelal

doi:10.1063/1.5095122

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Cited by 5 publications

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“…1: If n = n; then (V; ) summability is reduced to Cesàro summability. By we denote the class of all non-decreasing sequence of positive real numbers tending to 1 such that n+1 n + 1; 1 = 1: = ( n ) sequence spaces were studied in ( [11], [12], [21], [27], [28], [13], [14], [29], [36]) and A statistical convergence for A = (a ik ) an in…nite matrix of complex numbers were studied in ( [15], [14], [37], [3], [4]).…”

Section: Introductionmentioning

confidence: 99%

On S(λ,A)-convergence and strong (V,λ,A)-convergence of order α

Şengül¹,

Koyun²

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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In the paper [B. de Malafosse and V. Rakoµ cević, Linear Algebra Appl. 420, no. 2-3, (2007), 377-387], authors de…ned the concept of (; A) statistical convergence. In this paper, the concept of (; A) statistical convergence is generalized to (; A) statistical convergence of order : Also, we introduce the concept of strong (V; ; A) convergence of order and give some inclusion relations between the concepts of (; A) statistical convergence of order and strong (V; ; A) convergence of order .

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