On λ-statistical convergence and strongly λ-summable functions of order α

被引：23

作者：

Et, Mikail ^{[1
]}

Mohiuddine, Syed Abdul ^{[2
]}

Alotaibi, Abdullah ^{[2
]}

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

statistical convergence; measurable function; (V; lambda)-summability; DOUBLE SEQUENCES; DIFFERENCE-SEQUENCES; LA VALLEE; SPACES; APPROXIMATION;

D O I：

10.1186/1029-242X-2013-469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, using the notion of (V, lambda)-summability and lambda-statistical convergence, we introduce the concepts of strong (V, lambda, rho)-summability and lambda-statistical convergence of order alpha of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1, infinity). Also some relations between.-statistical convergence of order alpha and strong (V, lambda, rho)-summability of order beta are given.

引用

页数：8

共 44 条

[1]

Alotaibi A, 2012, J INEQUAL APPL, V2012

[2]

[Anonymous], 1991, Acta Comment. Univ. Tartueneis

[3] Generalized weighted statistical convergence and application [J].

Belen, C. ;

Mohiuddine, S. A. .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9821-9826

[4]

BORWEIN D, 1965, J LONDON MATH SOC, V40, P628

[5] λ-STATISTICAL CONVERGENCE OF ORDER α [J].

Colak, R. ;

Bektas, C. A. .

ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) :953-959

[6]

Colak R., 2010, MODERN METHODS ANAL, P121

[7]

Colak R., 2011, On.-statistical convergence

[8]

Connor J. S., 1988, ANALYSIS, V8, P47, DOI DOI 10.1524/ANLY.1988.8.12.47

[9]

Dutta H, 2011, ACTA MATH UNIV COMEN, V80, P185

[10]

Dutta H, APPL MATH LETT

← 1 2 3 4 5 →