On Absolute Matrix Summability of Factored Infinite Series and Fourier Series

被引：0
|
作者：
Ozgen, H. Nedret [1 ,2 ]
机构：
[1] Mersin Univ, Fac Educ, Dept Math & Sci Educ, Mersin, Turkiye
[2] Mersin Univ, Fac Educ, Dept Math & Sci Educ, TR-33169 Mersin, Turkiye
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 12期
关键词：
Absolute matrix summability; Holder inequality; Fourier series; infinite series; Minkowski inequality; summability factors; ARITHMETIC MEAN SUMMABILITY;
D O I：
10.1080/01630563.2023.2241146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have generalized two known theorems dealing with the absolute weighted arithmetic mean summability factors of infinite series and Fourier series to the absolute matrix summability methods. Some new and known results have also been obtained.
引用
收藏
页码：1300 / 1308
页数：9
相关论文
共 50 条
  • [11] ABSOLUTE NORLUND SUMMABILITY OF FACTORED FOURIER SERIES
    DWIVEDI, GK
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (02): : 121 - &
  • [12] ON ABSOLUTE NORLUND SUMMABILITY OF A FACTORED FOURIER SERIES
    MEHROTRA, ND
    PROCEEDINGS OF THE JAPAN ACADEMY, 1965, 41 (01): : 46 - &
  • [13] On absolute summability of infinite series and Fourier series
    OEzarslan, Hikmet Seyhan
    ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2023, 22 (01) : 127 - 134
  • [14] Local Properties of Generalized Absolute Matrix Summability of Factored Fourier Series
    Ozarslan, Hikmet Seyhan
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (02) : 263 - 272
  • [15] MATRIX SUMMABILITY OF A FACTORED FOURIER-SERIES
    JENA, SC
    MISHRA, R
    SWAIN, S
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1993, 103 (02): : 135 - 140
  • [16] GENERALIZED ABSOLUTE CESARO SUMMABILITY OF FACTORED INFINITE SERIES
    Bor, Huseyin
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (5-6): : 807 - 811
  • [17] On Generalized Absolute Cesaro Summability Of Factored Infinite Series
    Bor, Huseyin
    APPLIED MATHEMATICS E-NOTES, 2019, 19 : 22 - 26
  • [18] On Local Property of Absolute Summability of Factored Fourier Series
    Bor, Huseyin
    Yu, Dansheng
    Zhou, Ping
    FILOMAT, 2014, 28 (08) : 1675 - 1686
  • [19] ON THE ABSOLUTE EULER SUMMABILITY OF A FACTORED FOURIER-SERIES
    RAY, BK
    PATRA, B
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1982, 13 (06): : 696 - 710
  • [20] ABSOLUTE RIESZ SUMMABILITY OF A FACTORED FOURIER-SERIES
    SINHA, SR
    PRASAD, K
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1978, 26 (03): : 223 - 229
12345