On Approximation Properties of the Modified
Lupas-Baskakov Integral Operators

TIANJun; WANGLi; GUO Yao-huang

Volume 14 Issue 1

Feb. 2001

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Article Contents

Journal of Southwest Jiaotong University > 2001 > 14(1): 75-79.

TIANJun, WANGLi, GUO Yao-huang. On Approximation Properties of the ModifiedLupas-Baskakov Integral Operators[J]. Journal of Southwest Jiaotong University, 2001, 14(1): 75-79.

Citation:

TIANJun, WANGLi, GUO Yao-huang. On Approximation Properties of the Modified Lupas-Baskakov Integral Operators[J]. Journal of Southwest Jiaotong University, 2001, 14(1): 75-79.

TIANJun, WANGLi, GUO Yao-huang. On Approximation Properties of the ModifiedLupas-Baskakov Integral Operators[J]. Journal of Southwest Jiaotong University, 2001, 14(1): 75-79.

Citation:

TIANJun, WANGLi, GUO Yao-huang. On Approximation Properties of the Modified Lupas-Baskakov Integral Operators[J]. Journal of Southwest Jiaotong University, 2001, 14(1): 75-79.

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On Approximation Properties of the Modified Lupas-Baskakov Integral Operators

Publish Date: 25 Feb 2001

Abstract

Abstract

A modified Lupas-Baskakov integral operator, which compounds Lupas operator and Baskakov operator, is introduced in this paper. By analyzing and researching the properties of the modified Lupas- Baskakov integral operators, the paperobtains theVonorovskya asymptotic formula, establishes the saturated order and trifle set of the modified Lupas-Baskakov integral operators, and then sets up the saturation theorem for this kind of operators.
- integral operator,
- approximation,
- Vonorovskya formula,
- saturation theorem