On Landau-Type Approximation Operators

被引：1
作者：
Agratini, Octavian [1 ,2 ]
Gal, Sorin G. [3 ,4 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Str Kogalniceanu 1, Cluj Napoca 400084, Romania
[2] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Str Fantanele 57, Cluj Napoca 400320, Romania
[3] Univ Oradea, Dept Math & Comp Sci, Str Univ 1, Oradea 410087, Romania
[4] Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 02期
关键词：
Landau operator; modulus of continuity; weighted space; approximation process; upper estimates; quantitative Voronovskaya-type theorems; 41A36; 41A25; 41A17;
D O I：
10.1007/s00009-021-01712-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered by integral type operators. Approximation properties in different function spaces are obtained, including quantitative Voronovskaya-type results.
引用
收藏
页数：15
相关论文
共 17 条
  • [1] Altomare F., 2010, Surv. Approx. Theory, V5, P92
  • [2] Binmore K. G, 1977, Mathematical Analysis: A Straightforward Approach
  • [3] 陈湛本, 1998, 数学季刊, V13, P29
  • [4] Gal S.G., 2021, IN PRESS, V37
  • [5] Gao JB., 1984, THE J, V12, P1
  • [6] Gonska H, 2006, P INT C NUM AN APPR, P55
  • [7] Jackson D., 1934, American Mathematical Monthly, P309, DOI DOI 10.1080/00029890.1934.11987557
  • [8] LANDAU E, 1908, REND CIRC MAT PALERM, V25, P337, DOI DOI 10.1007/BF03029135
  • [9] Weighted simultaneous approximation with Baskakov type operators
    López-Moreno, AJ
    [J]. ACTA MATHEMATICA HUNGARICA, 2004, 104 (1-2) : 143 - 151
  • [10] MAMEDOV RG, 1961, DOKL AKAD NAUK SSSR+, V139, P28
12