A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification

被引：9
作者：
Acar, Tuncer [1 ]
Draganov, Borislav R. [2 ,3 ]
机构：
[1] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkiye
[2] Sofia Univ St Kliment Ohridski, Dept Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria
[3] Bulgarian Acad Sci, Inst Math & Informat, bl 8 Acad G Bonchev Str, Sofia 1113, Bulgaria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 530卷 / 02期
关键词：
Sampling operator; Sampling Kantorovich operator; Simultaneous approximation; Direct estimate; Strong converse inequality; Modulus of smoothness; ERROR;
D O I：
10.1016/j.jmaa.2023.127740
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a direct and a matching two-term strong converse inequality by moduli of smoothness for the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification in the L-p-norm, 1 <= p <= infinity, and, in particular, the uniform norm on R. They yield the saturation property and class for the simultaneous approximation by the generalized sampling operators, and in the case of the sampling Kantorovich operators-the saturation class of the operator itself as well. (c) 2023 Elsevier Inc. All rights reserved.
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页数：25
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