On a Property of Moduli of Smoothness and K-Functionals

被引：0
|
作者：
Agratini, Octavian [1 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
来源：
FILOMAT | 2015年 / 29卷 / 07期
关键词：
Moduli of smoothness; K-functional; statistical convergence; STATISTICAL CONVERGENCE;
D O I：
10.2298/FIL1507425A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new property of moduli of smoothness associated to functions belonging to some certain spaces is revealed. In terms of statistical convergence, we determine the behavior of these special functions at the point delta = 0. In this respect, Peetre's K-functional is also investigated.
引用
收藏
页码：1425 / 1428
页数：4
相关论文
共 50 条
  • [31] Equivalence of K-functionals and modulus of smoothness constructed by first Hankel–Clifford transform
    Mohamed El Hamma
    Radouan Daher
    Chaimaa Khalil
    The Journal of Analysis, 2022, 30 : 667 - 676
  • [32] Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces S(p,q)(σm-1)
    El Ouadih, Salah
    Daher, Radouan
    Tyr, Othman
    Saadi, Faouaz
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (01) : 445 - 458
  • [33] On the equivalence of K-functionals and modulus of smoothness constructed by the generalized Fourier-Bessel transform
    El Hamma, M.
    Daher, R.
    Djellab, N.
    Khalil, Ch
    AFRIKA MATEMATIKA, 2022, 33 (01)
  • [34] Best Approximation and K-Functionals
    W. Chen
    Z. Ditzian
    Acta Mathematica Hungarica, 1997, 75 : 165 - 208
  • [35] A unified approach to self-improving property via K-functionals
    Dominguez, Oscar
    Li, Yinqin
    Tikhonov, Sergey
    Yang, Dachun
    Yuan, Wen
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (09)
  • [36] Equivalence of K-functionals and modulus of smoothness constructed by first Hankel-Clifford transform
    El Hamma, Mohamed
    Daher, Radouan
    Khalil, Chaimaa
    JOURNAL OF ANALYSIS, 2022, 30 (02): : 667 - 676
  • [37] Best approximation and K-functionals
    Chen, W
    Ditzian, Z
    ACTA MATHEMATICA HUNGARICA, 1997, 75 (03) : 165 - 208
  • [38] Equivalence of K-functionals and modulus of smoothness generated by a generalized Jacobi–Dunkl transform on the real line
    Radouan Daher
    Othman Tyr
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 687 - 698
  • [39] Estimates for Weighted K-Functionals Using the Least Concave Majorant of Weighted Moduli of Continuity
    Paltanea, Radu
    Dimitriu, Maria Talpau
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (12) : 1589 - 1600
  • [40] Approximation by Dilated Averages and K-Functionals
    Ditzian, Z.
    Prymak, A.
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (04): : 737 - 757
12345