αβ-STATISTICAL CONVERGENCE ON TIME SCALES

被引:3
作者
Sozbir, Bayram [1 ]
Altundag, Selma [1 ]
机构
[1] Fac Arts & Sci, Dept Math, TR-54000 Sakarya, Turkey
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 01期
关键词
statistical convergence; time scale; delta measurable functions; Cesaro summable; SUMMABILITY;
D O I
10.22190/FUMI2001141S
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concepts of alpha beta-statistical convergence and strong alpha beta-Cesaro summability of delta measurable functions on an arbitrary time scale. Then some inclusion relations and results about these new concepts are presented. We will also investigate the relationship between statistical convergence and alpha beta-statistical convergence on a time scale.
引用
收藏
页码:141 / 150
页数:10
相关论文
共 30 条
[1]   Korovkin type approximation theorems proved via αβ-statistical convergence [J].
Aktuglu, Huseyin .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 :174-181
[2]   Uniform Statistical Convergence on Time Scales [J].
Altin, Yavuz ;
Koyunbakan, Hikmet ;
Yilmaz, Emrah .
JOURNAL OF APPLIED MATHEMATICS, 2014,
[3]  
Altundag, 2019, DYNAM CONT DIS SER A, V26, P137
[4]  
AULBACH B, 1990, COLLOQ MATH SOC J B, V53, P37
[5]  
Bohner M., 2001, Dynamic Equations on Time Scales, An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[6]  
Bohner M., 2003, Advances in Dynamic Equations on Time Scales, DOI DOI 10.1007/978-0-8176-8230-9
[7]   Expression of the Lebesgue Δ-integral on time scales as a usual Lebesgue integral;: application to the calculus of Δ-antiderivatives [J].
Cabada, A ;
Vivero, DR .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) :194-207
[8]   ON STRONG MATRIX SUMMABILITY WITH RESPECT TO A MODULUS AND STATISTICAL CONVERGENCE [J].
CONNOR, J .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (02) :194-198
[9]  
Connor J., 1988, ANALYSIS, V8, P47
[10]   On generalizations of certain summability methods using ideals [J].
Das, Pratulananda ;
Savas, Ekrem ;
Ghosal, Sanjoy Kr .
APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1509-1514