Lp-APPROXIMATION BY TRUNCATED MAX-PRODUCT SAMPLING OPERATORS OF KANTOROVICH-TYPE BASED ON FEJER KERNEL

被引：36
|
作者：
Coroianu, Lucian [1 ]
Gal, Sorin G. [1 ]
机构：
[1] Univ Oradea, Dept Math & Comp Sci, Univ 1, Oradea 410087, Romania
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2017年 / 29卷 / 02期
关键词：
Sampling theory; max-product sampling operators of Kantorovich kind; Fejer kernel; L-p-convergence with 1 <= p <= plus infinity; SIGNALS; SERIES; TERMS;
D O I：
10.1216/JIE-2017-29-2-349
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By use of the so-called max-product method, in this paper we associate to the truncated linear sampling operators based on the Fejer-type kernel, nonlinear sampling operators of Kantorovich type, for which we prove convergence results in the L-p-norm, 1 <= p <= + infinity, with quantitative estimates.
引用
收藏
页码：349 / 364
页数：16
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