A COMPARISON BETWEEN EULER AND CESARO METHODS OF SUMMABILITY

被引：0
|
作者：
KUTTNER, B
PARAMESWARAN, MR
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 03期
关键词：
D O I：
10.2307/2160755
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that there are sequences that are summable by every Cesaro method C-r (r > 0) but are not summable by any Euler method E(p) (0 < p < 1). It is proved here that on the other hand there are sequences that are summable by every Euler method E(p) (0 < p < 1) but are not summable by any Cesaro method.
引用
收藏
页码：787 / 790
页数：4
相关论文
共 50 条
  • [41] Absolute Cesaro summability factors
    Tuncer, AN
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (09): : 1331 - 1336
  • [42] A theorem on the Cesaro summability method
    Canak, Ibrahim
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1162 - 1166
  • [43] ON GENERALIZED ABSOLUTE CESARO SUMMABILITY
    Bor, Huseyin
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2011, 57 (02): : 323 - 328
  • [44] ON QUASI-CESARO SUMMABILITY
    WHITE, AJ
    QUARTERLY JOURNAL OF MATHEMATICS, 1961, 12 (46): : 81 - &
  • [45] A NOTE ON STRONG CESARO SUMMABILITY
    KUTTNER, B
    THORPE, B
    ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1980, 36 (1-2): : 167 - 182
  • [46] Cesaro summability and Marchaud inequality
    Dai, F.
    Ditzian, Z.
    CONSTRUCTIVE APPROXIMATION, 2007, 25 (01) : 73 - 88
  • [47] A ONE-SIDED THEOREM FOR THE PRODUCT OF ABEL AND CESARO SUMMABILITY METHODS
    Erdem, Yilmaz
    Canak, Ibrahim
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 101 - 114
  • [48] Tauberian Theorems for the Product of Weighted and Cesaro Summability Methods for Double Sequences
    Findik, Goksen
    Canak, Ibrahim
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (07): : 9 - 19
  • [49] A summability factor theorem for a generalized absolute Cesaro summability
    Yu, Dansheng
    Zhou, Guanzhen
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 832 - 838
  • [50] On summability of sequences of sets by Cesaro submethod
    Sezgek, S.
    Dagadur, I.
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2023, 16 (01): : 79 - 93
12345