Some results concerning the summability of spliced sequences

被引：2

作者：

Yurdakadim, Tugba ^{[1
]}

Unver, Mehmet ^{[2
]}

机构：

[1] Hitit Univ, Fac Arts & Sci, Dept Math, Ulukavak, Corum, Turkey

[2] Ankara Univ, Dept Math, Fac Sci, Ankara, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 05期

关键词：

Matrix summability; spliced sequences; A-density; core of a sequence;

D O I：

10.3906/mat-1508-34

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.

引用

页码：1134 / 1143

页数：10

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