Degree of convergence of a function of trigonometric series in Besov spaces

被引:1
作者
Nigam, H. K. [1 ]
Sah, Manoj Kumar [1 ]
机构
[1] Cent Univ South Bihar, Dept Math, Gaya, Bihar, India
关键词
Degree of convergence; Besov space; product Hausdorff means; Fourier series; derived Fourier series; modulus of continuity; modulus of smoothness; APPROXIMATION;
D O I
10.2298/FIL2318205N
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the degree of convergence of the functions of Fourier series and derived Fourier series in Besov spaces using product Hausdorff (HK) means. We also study some applications of our main results.
引用
收藏
页码:6205 / 6228
页数:24
相关论文
共 50 条
  • [31] Order of the trigonometric widths of the Nikol'skii-Besov classes with mixed metric in the metric of anisotropic Lorentz spaces
    Bekmaganbetov, K. A.
    Kervenev, K. Ye
    Toleugazy, Ye
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020, 97 (01): : 17 - 26
  • [32] On the convergence of generalized Cesàro means of trigonometric Fourier series. II
    T. Akhobadze
    Acta Mathematica Hungarica, 2007, 115 : 79 - 100
  • [34] Periodic Besov Spaces and Generalized Moduli of Smoothness
    S. Yu. Artamonov
    K. V. Runovskii
    H.-J. Schmeisser
    Mathematical Notes, 2020, 108 : 603 - 607
  • [35] Embedding of Besov Spaces into Tent Spaces and Applications
    R. Qian
    S. Li
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2021, 56 : 295 - 306
  • [36] Embedding of Besov Spaces into Tent Spaces and Applications
    Qian, R.
    Li, S.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2021, 56 (05): : 295 - 306
  • [37] Harmonic Besov spaces on the ball
    Gergun, Secil
    Kaptanoglu, H. Turgay
    Ureyen, A. Ersin
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2016, 27 (09)
  • [38] Besov Spaces with General Weights
    Drihem, Douadi
    JOURNAL OF MATHEMATICAL STUDY, 2023, 56 (01) : 18 - 92
  • [39] Besov spaces and a trace ideal
    Fugarolas, MA
    ACTA MATHEMATICA HUNGARICA, 1999, 82 (1-2) : 75 - 81
  • [40] Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
    Caetano, Antonio
    Gogatishvili, Amiran
    Opic, Bohumir
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (05) : 905 - 927