A Global Inverse Theorem for Combinations of Phillips Operators

被引：0
|
作者：
Gancho Tachev
机构：
[1] University of Architecture,Department of Mathematics
[2] Civil Engineering and Geodesy,undefined
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Ditzian–Totik modulus of smoothness; linear combinations; inverse theorems; Phillips operators; 41A10; 41A25; 41A36;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we prove a global inverse theorem for approximation of bounded continuous functions on the interval [0, ∞) by linear combinations of Phillips operators. Our estimate is in terms of Ditzian–Totik modulus of smoothness and the combinations are in the general form of linear combinations, considered in the book of Ditzian–Totik. Our main theorem extends and generalizes the previous results, obtained by C. P. May, V. Gupta, R. P. Agrawal, etc.
引用
收藏
页码：2709 / 2719
页数：10
相关论文
共 43 条
  • [11] On L-p-Inverse Theorem for a Linear Combination of Szasz-Beta Operators
    Agrawal, P. N.
    Gairola, A. R.
    THAI JOURNAL OF MATHEMATICS, 2010, 8 (03): : 429 - 438
  • [12] Stancu type generalization of the q-Phillips operators
    Qiu Lin
    Ruisheng Qi
    Numerical Algorithms, 2016, 72 : 181 - 193
  • [13] On Approximation Properties of Phillips Operators Preserving Exponential Functions
    Vijay Gupta
    Gancho Tachev
    Mediterranean Journal of Mathematics, 2017, 14
  • [14] On Approximation Properties of Phillips Operators Preserving Exponential Functions
    Gupta, Vijay
    Tachev, Gancho
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (04)
  • [15] A generalization of Phillips operators by using the Appell polynomials of class A(2)
    Aksoy, Melek Sofyalioglu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [16] Phillips Operators Preserving Arbitrary Exponential Functions, eat, ebt
    Gupta, Vijay
    Lopez-Moreno, Antonio-Jesus
    FILOMAT, 2018, 32 (14) : 5071 - 5082
  • [17] ON SIMULTANEOUS APPROXIMATION AND COMBINATIONS OF LUPAS TYPE OPERATORS
    Sinha, T. A. K.
    Singh, K. K.
    Sharma, Avinash K.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (04): : 619 - 627
  • [18] On invertibility of combinations of k-potent operators
    Deng, Chunyuan
    Cvetkovic-Ilic, Dragana S.
    Wei, Yimin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (01) : 376 - 387
  • [19] The group inverse of the combinations of two idempotent matrices
    Liu, Xiaoji
    Wu, Lingling
    Yu, Yaoming
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (01) : 101 - 115
  • [20] Pointwise approximation for linear combinations of Bernstein operators
    Guo, SS
    Li, CX
    Liu, XW
    Song, ZJ
    JOURNAL OF APPROXIMATION THEORY, 2000, 107 (01) : 109 - 120
12345