Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight-Reference-Cited by-同舟云学术

Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight

Published:2011 Issue: Volume:2011 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Feng Guo¹²

Affiliation:

1. School of Mathematics and Information Engineering, Taizhou University, Zhejiang, Taizhou 317000, China

2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Abstract

We introduce a new norm and a newK-functionalKφλ(f;t)w,λ. Using thisK-functional, direct and inverse approximation theorems for the Baskakov operators with the Jacobi-type weight are obtained in this paper.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/101852.pdf

Reference8 articles.

1. On Global Inverse Theorems of Szász and Baskakov Operators

2. Uniform approximation by Baskakov and Meyer-König and Zeller operators

3. Uniform approximation by exponential-type operators

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