二元非乘积型Baskakov算子加权逼近的等价定理

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 27-34.

二元非乘积型Baskakov算子加权逼近的等价定理

Department of Mathematics, Taizhou University

收稿日期:2005-04-04 出版日期:2009-03-30 发布日期:2023-09-06
作者简介: FENG Guo(1958- ), male, native of Linhai, Zhejiang, an associate professor of Taizhou University, engages in approximation theory.
基金资助:
Supported by the Scientific Research Fund of Zhejiang Province Education Depart-ment(200700190)； Supported by the Science Technique Planed Item of Taizhou City(063KY08)； Supported by Major Scientific Research Fund of Taizhou University(09ZD08)；

The Equivalence Theorem of Appoximation for Two-dimensional Baskakov Operators

Department of Mathematics, Taizhou University

Received:2005-04-04 Online:2009-03-30 Published:2023-09-06
About author: FENG Guo(1958- ), male, native of Linhai, Zhejiang, an associate professor of Taizhou University, engages in approximation theory.
Supported by:
Supported by the Scientific Research Fund of Zhejiang Province Education Depart-ment(200700190)； Supported by the Science Technique Planed Item of Taizhou City(063KY08)； Supported by Major Scientific Research Fund of Taizhou University(09ZD08)；

摘要/Abstract

摘要： In this paper, we study the convergence rate of two-dimensional Baskakov operators with Jacobi-weights and the approximation equivalence theorem is obtained, making use of multivariate decompose skills and results of one-dimensional Baskakov operators.

关键词: Baskakov operators, Jacobi-weights, multivariate decompose, equivalence theorem

Abstract: In this paper, we study the convergence rate of two-dimensional Baskakov operators with Jacobi-weights and the approximation equivalence theorem is obtained, making use of multivariate decompose skills and results of one-dimensional Baskakov operators.

Key words: Baskakov operators, Jacobi-weights, multivariate decompose, equivalence theorem

中图分类号:

O177

冯国. 二元非乘积型Baskakov算子加权逼近的等价定理[J]. 数学季刊, 2009, 24(1): 27-34.

FENG Guo. The Equivalence Theorem of Appoximation for Two-dimensional Baskakov Operators [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 27-34.

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