A note on the Leindler's class Sα, α > 0

被引:0
|
作者
Tomovski, Z [1 ]
机构
[1] Fac Math & Nat Sci, Skopje 1000, North Macedonia
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2002年 / 5卷 / 03期
关键词
Sidon-Telyakovskii class; L-1-estimates; Leindler's class; Fourier series;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we generalize two inequalifies of Telyakovskii type (see [2], [5], [6], [7]), by considering the class S-alpha, alpha > 0 (see [2]) and positive derivate of order alpha for cosine and sine series. Also, an equivalent form of the Leinder's class S-alpha, alpha > 0 is given.
引用
收藏
页码:505 / 509
页数:5
相关论文
共 50 条
  • [1] ON CHOWLA’S HYPOTHESIS IMPLYING THAT L(s, χ) > 0 FOR s > 0 FOR REAL CHARACTERS χ
    Louboutin, Stephane R.
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 60 (01) : 1 - 22
  • [2] ON CHOWLA'S HYPOTHESIS IMPLYING THAT L(s, χ) > 0 FOR s > 0 FOR REAL CHARACTERS χ
    Louboutin, Stephane R.
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (01) : 1 - 22
  • [3] Remarks on S.!Chowla's hypothesis implying that L(s, χ) > 0 for s > 0 and for real characters χ
    Louboutin, SR
    HIGH PRIMES AND MISDEMEANOURS: LECTURES IN HONOUR OF THE 60TH BIRTHDAY OF HUGH COWIE WILLIAMS, 2004, 41 : 283 - 291
  • [4] ON THE SIZE OF L(1, χ) AND S. CHOWLA'S HYPOTHESIS IMPLYING THAT L(1, χ) > 0 FOR s > 0 AND FOR REAL CHARACTERS χ
    Louboutin, S.
    COLLOQUIUM MATHEMATICUM, 2013, 130 (01) : 79 - 90
  • [5] A note on two theorems of Leindler
    Németh, J
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2002, 5 (02): : 225 - 233
  • [6] A Note on the Testability of Ramsey's Class
    Jordan, Charles
    Zeugmann, Thomas
    THEORY AND APPLICATIONS OF MODELS OF COMPUTATION, PROCEEDINGS, 2010, 6108 : 296 - 307
  • [7] Fractional Leindler's Inequalities via Conformable Calculus
    AlNemer, Ghada
    Kenawy, Mohammed R.
    Rezk, Haytham M.
    El-Deeb, Ahmed A.
    Zakarya, Mohammed
    SYMMETRY-BASEL, 2022, 14 (10):
  • [8] NOTE ON OBSERVATION OF S0 MESON
    GEMESY, T
    SURANYI, G
    ACTA PHYSICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1970, 29 (01): : 91 - &
  • [9] A Note on Relatively Injective C0(S)-Modules C0(S)
    Nemesh, N. T.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2021, 55 (04) : 298 - 303
  • [10] A note on interpolation in the Lumer's Nevanlinna class
    Son, Duong Ngoc
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2007, 18 (03): : 447 - 453