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

[1] Approximation by truncated max-product operators of Kantorovich-type based on generalized (φ, ψ)-kernels
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7971 - 7984
[2] Approximation by Truncated Max-Product Sampling Kantorovich Operators in LP Spaces
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[3] Approximation by max-product operators of Kantorovich type
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[5] Approximation by max-product sampling Kantorovich operators with generalized kernels
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[6] Approximation by Multivariate Max-Product Kantorovich Exponential Sampling Operators
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[7] Approximation by Max-Product Neural Network Operators of Kantorovich Type
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[8] Approximation by Max-Product Neural Network Operators of Kantorovich Type
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[9] APPROXIMATION BY MULTIVARIATE MAX-PRODUCT KANTOROVICH-TYPE OPERATORS AND LEARNING RATES OF LEAST-SQUARES REGULARIZED REGRESSION
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[10] Exponential Sampling Type Kantorovich Max-Product Neural Network Operators
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2024, : 631 - 650

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