Lacunary Statistical Convergence and Strongly Lacunary Summable Functions of Order α

被引：56

作者：

Srivastava, H. M. ^{[1
,2
]}

Et, Mikail ^{[3
,4
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] China Med Univ, Taichung 40402, Taiwan

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

[4] Siirt Univ, Dept Math, TR-56100 Siirt, Turkey

来源：

FILOMAT | 2017年 / 31卷 / 06期

关键词：

Statistical convergence; measurable functions; lacunary sequences; lacunary statistical convergence; APPROXIMATION; SUMMABILITY; SEQUENCES; POLYNOMIALS;

D O I：

10.2298/FIL1706573S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to introduce and investigate the concepts of lacunary strong summability of order alpha and lacunary statistical convergence of order alpha of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,infinity). Some relations between lacunary statistical convergence of order alpha and lacunary strong summability of order beta are also given.

引用

页码：1573 / 1582

页数：10

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