Generalized Lacunary Statistical Convergence of Order ß of Difference Sequences of Fractional Order

被引：0
|
作者：
Aral, Nazlim Deniz [1 ]
机构：
[1] Bitlis Eren Univ, Fac Arts & Sci, Dept Math, Bitlis, Turkiye
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
Difference sequence; statistical convergence; lacunary sequence; SUMMABILITY SPACES; ALPHA; LAMBDA;
D O I：
10.5269/bspm.50848
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using a modulus function we generalize the concepts of m-lacunary statistical convergence and m-lacunary strongly convergence (m is an element of N) to alpha-lacunary statistical convergence of order beta with the fractional order of alpha and alpha-lacunary strongly convergence of order beta with the fractional order of alpha ( where 0 < beta <= 1 and alpha be a fractional order).
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