Some one-sided conditions under which subsequential convergence follows from (A, k) summability method

被引：0

作者：

Totur, Umit ^{[2
]}

Canak, Ibrahim ^{[1
]}

Dik, Mehmet ^{[3
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

[2] Adnan Menderes Univ, Dept Math, TR-09010 Aydin, Turkey

[3] Rockford Coll, Rockford, IL 61108 USA

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 05期

关键词：

(A; k); summability; General control modulo; Slow oscillation; Moderate oscillation; Linear operator; TAUBERIAN-THEOREMS;

D O I：

10.1016/j.aml.2010.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce some conditions to recover subsequential convergence of an (A, k) summable sequence which is one-sidedly bounded by another sequence. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：692 / 696

页数：5

共 11 条

[1] SOME CONDITIONS UNDER WHICH SUBSEQUENTIAL CONVERGENCE FOLLOWS FROM (A, m) SUMMABILITY
Canak, Ibrahim
Totur, Umit
Dik, Mehmet
FILOMAT, 2010, 24 (01) : 133 - 139
[2] One-sided Tauberian conditions for (A, k) summability method
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Totur, Umit
Dik, Mehmet
MATHEMATICAL AND COMPUTER MODELLING, 2010, 51 (5-6) : 425 - 430
[3] Some conditions under which subsequential convergence follows from boundedness
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[4] One-sided Tauberian conditions for a general summability method
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[5] NECESSARY AND SUFFICIENT TAUBERIAN CONDITIONS UNDER WHICH CONVERGENCE FOLLOWS FROM SUMMABILITY
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[6] Tauberian conditions, under which statistical convergence follows from statistical summability (C, 1)
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[7] Tauberian conditions under which statistical convergence follows from statistical summability by weighted means
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[8] SOME CONDITIONS UNDER WHICH SLOW OSCILLATION OF A SEQUENCE OF FUZZY NUMBERS FOLLOWS FROM CESARO SUMMABILITY OF ITS GENERATOR SEQUENCE
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[9] A Tauberian condition under which convergence follows from the weighted mean summability of sequences of fuzzy number
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ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (01): : 183 - 192
[10] ONE-SIDED TAUBERIAN CONDITIONS FOR THE ((N)over-bar, p) SUMMABILITY OF INTEGRALS
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Okur, Muhammet Ali
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UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (03): : 65 - 74

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