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

页码：349 / 364

页数：16

共 41 条

[21] Inverse Result of Approximation for the Max-Product Neural Network Operators of the Kantorovich Type and Their Saturation Order
Cantarini, Marco
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MATHEMATICS, 2022, 10 (01)
[22] Approximation by Nonlinear Generalized Sampling Operators of Max-Product Kind
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Sampling Theory in Signal and Image Processing, 2010, 9 (1-3): : 59 - 75
[23] Convergence results in Orlicz spaces for sequences of max-product sampling Kantorovich operators
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[24] Saturation Results for the Truncated Max-Product Sampling Operators Based on Sinc and Fejér-Type Kernels
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[26] Weighted approximation of functions by Favard operators of max-product type
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[27] Approximation Results in Orlicz Spaces for Sequences of Kantorovich Max-Product Neural Network Operators
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[28] Approximation Results in Orlicz Spaces for Sequences of Kantorovich Max-Product Neural Network Operators
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RESULTS IN MATHEMATICS, 2018, 73 (01)
[29] Weighted approximation of functions by Favard operators of max-product type
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PERIODICA MATHEMATICA HUNGARICA, 2018, 77 (02) : 340 - 346
[30] APPROXIMATION OF FUNCTIONS BY SOME EXPONENTIAL OPERATORS OF MAX-PRODUCT TYPE
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