Szás型算子线性组合点态逼近的特征刻画

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 379-384.

Szás型算子线性组合点态逼近的特征刻画

Department of Mathematics, Taizhou College, Taizhou 317000, China

收稿日期:2002-12-24 出版日期:2004-12-30 发布日期:2024-03-05
作者简介:FENG Guo(1958-),male,native of Taizhou,Zhejiang,an associate professor of Taizhou Uni- versity,engages in theory of approximation.
基金资助:
SupportedbytheEducationDepartmentofZhejiangProvince(20040292)；

A Characterization of Pointwise Approximation for Linear Combinations of Szász-type Operators

Department of Mathematics, Taizhou College, Taizhou 317000, China

Received:2002-12-24 Online:2004-12-30 Published:2024-03-05
About author:FENG Guo(1958-),male,native of Taizhou,Zhejiang,an associate professor of Taizhou Uni- versity,engages in theory of approximation.
Supported by:
SupportedbytheEducationDepartmentofZhejiangProvince(20040292)；

摘要/Abstract

摘要： In this paper, we use Ditzian-Totik modulus to study the pointwise approximation for the linear combinations of Szasz-type operators, and obtain the direct and converse theorem and the characterization of the pointwise approximation for the linear combinations of Szasz-type operators.

关键词: Szász-type , , , , operators, linear , , , , combination, pointwise , , , , approximation, Ditzian-
Totik , , modulus

Abstract: In this paper, we use Ditzian-Totik modulus to study the pointwise approximation for the linear combinations of Szasz-type operators, and obtain the direct and converse theorem and the characterization of the pointwise approximation for the linear combinations of Szasz-type operators.

Key words: Szász-type , , , , operators, linear , , , , combination, pointwise , , , , approximation, Ditzian-
Totik , , modulus

中图分类号:

O177

冯国. Szás型算子线性组合点态逼近的特征刻画[J]. 数学季刊, 2004, 19(4): 379-384.

FENG Guo. A Characterization of Pointwise Approximation for Linear Combinations of Szász-type Operators[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 379-384.

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