Some New Applications of Power Increasing Sequences

被引：1

作者：

Bor, Huseyin

机构：

[1] 06502 Bahçelievler, Ankara

来源：

NATIONAL ACADEMY SCIENCE LETTERS-INDIA | 2014年 / 37卷 / 04期

关键词：

Cesaro mean; Riesz mean; Sequence spaces; Summability factors; Infinite series; Increasing sequences; Holder inequality; Minkowski inequality; SUMMABILITY FACTORS; INFINITE SERIES;

D O I：

10.1007/s40009-014-0245-4

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we generalize two known theorems dealing with absolute CesA ro and Riesz summability factors by using a quasi-f-power increasing sequence instead of a quasi--power increasing sequence. Some important known theorems are deduced from our theorems.

引用

页码：371 / 374

页数：4

共 17 条

[1] ON 2 SUMMABILITY METHODS
BOR, H
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1985, 97 (JAN) : 147 - 149
[2] ON THE RELATIVE STRENGTH OF 2 ABSOLUTE SUMMABILITY METHODS
BOR, H
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (04) : 1009 - 1012
[3] On some new applications of power increasing sequences
Bor, Huseyin
[J]. COMPTES RENDUS MATHEMATIQUE, 2008, 346 (7-8) : 391 - 394
[4] An application of quasi-f-power increasing sequences
Bor, Huseyin
[J]. POSITIVITY, 2013, 17 (03) : 677 - 681
[5] A new application of generalized power increasing sequences
Bor, Huseyin
[J]. FILOMAT, 2012, 26 (03) : 631 - 635
[6] Power Increasing Sequences and Their Some New Applications
Bor, Huseyin
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[7] On generalized absolute Cesaro summability
Bor, Huseyin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 8923 - 8926
[8] BOSANQUET LS, 1941, J LOND MATH SOC, V16, P146, DOI DOI 10.1112/JLMS/S1-16.3.146
[9] Flett T.M., 1957, Proc. Lond. Math. Soc, V7, P113, DOI DOI 10.1112/PLMS/S3-7.1.113
[10] FLETT TM, 1958, P LOND MATH SOC, V8, P357, DOI DOI 10.1112/PLMS/S3-8.3.357

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