GENERALIZED DIFFERENCE SEQUENCE SPACES OF FRACTIONAL ORDER DEFINED BY ORLICZ FUNCTIONS

被引:9
作者
Aral, Nazlim Deniz [1 ]
Et, Mikail [2 ]
机构
[1] Bitlis Eren Univ, Fac Arts & Sci, Dept Math, TR-13000 Bitlis, Turkey
[2] Firat Univ, Dept Math, Fac Sci, TR-23119 Elazig, Turkey
来源
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2020年 / 69卷 / 01期
关键词
Difference sequence; statistical convergence; lacunary sequence; LACUNARY STATISTICAL CONVERGENCE; ALPHA;
D O I
10.31801/cfsuasmas.628863
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this paper is to introduce the concepts of Delta(alpha)-lacunary statistical convergence of order beta (0 < beta <= 1) with the fractional order of ff and Delta(alpha)-lacunary strongly convergence of order beta (0 < beta <= 1) with the fractional order of alpha. We establish some connections between Delta(alpha)-lacunsry strongly convergence of order beta and Delta(alpha)-lacunsry statistical convergence of order beta.
引用
收藏
页码:941 / 951
页数:11
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