ON (λ, A) - STATISTICAL CONVERGENCE OF ORDER α

被引:0
作者
Sengul, Hacer [1 ]
Koyun, Ozlem [2 ]
机构
[1] Harran Univ, Fac Educ, Osmanbey Campus, TR-63190 Sanliurfa, Turkey
[2] Kayapinar Yunus Emre Anatolian Religious High Sch, Minist Educ, TR-21070 Diyarbakir, Turkey
来源
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 02期
关键词
lambda-statistical convergence; statistical convergence; strong; (V; lambda; A); -; convergence; SUMMABILITY; THEOREMS; APPROXIMATION; SEQUENCES; OPERATORS; SPACES;
D O I
10.31801/cfsuasmas.512628
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper [B. de Malafosse and V. Rakocevic, Linear Algebra Appl. 420, no. 2-3, (2007), 377-387], authors defined the concept of (lambda, A) - statistical convergence. In this paper, the concept of (lambda, A) - statistical convergence is generalized to (lambda, A) - statistical convergence of order alpha. Also, we introduce the concept of strong (V, lambda, A) - convergence of order alpha and give some inclusion relations between the concepts of (lambda, A) - statistical convergence of order alpha and strong (V, lambda, A) - convergence of order alpha.
引用
收藏
页码:2094 / 2103
页数:10
相关论文
共 38 条
[1]   Korovkin theorems on weighted spaces: revisited [J].
Atlihan, Ozlem Girgin ;
Unver, Mehmet ;
Duman, Oktay .
PERIODICA MATHEMATICA HUNGARICA, 2017, 75 (02) :201-209
[2]   Lacunary strong A-convergence with respect to a sequence of modulus functions [J].
Bilgin, T .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) :595-600
[3]  
Bilgin T., 2001, STUDIA U BABES BOLYA, V46, P39
[4]  
CAKALLI H, 1995, INDIAN J PURE AP MAT, V26, P113
[5]  
Cakalli H., 2009, FUNCT ANAL APPROX CO, V1, P19
[6]   Statistical Convergence in Function Spaces [J].
Caserta, Agata ;
Di Maio, Giuseppe ;
Kocinac, Ljubisa D. R. .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[7]  
Cinar M., 2013, FIXED POINT THEORY A, V2013, P11
[8]  
Çolak R, 2014, AN STIINT U AL I-MAT, V60, P437
[9]   λ-STATISTICAL CONVERGENCE OF ORDER α [J].
Colak, R. ;
Bektas, C. A. .
ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) :953-959
[10]  
Colak R., 2010, Modern Methods in Analysis and Its Applications, P121