2006Journal of Taizhou UniversityRequires access

An Equivalent Relation Between the Derivatives of Szasz Operators and the Modulus of Smoothness

Yun Zhuang

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Abstract

In this paper, by using the Ditzian - Totik modulusω(?)'λ(f;t) we study the relationship between the derivatives of the linear combinations of the Szasz - type operators and the smoothness of the function the linear combinations of the Szasz -type operators approximates to. We've got the equivalent theorem between the derivatives of the linear combinations of the Szasz - type operators and the Ditzian - Totik modulus.

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What this paper is about

In this paper, by using the Ditzian - Totik modulusω(?)'λ(f;t) we study the relationship between the derivatives of the linear combinations of the Szasz - type operators and the smoothness of the function the linear combinations of the Szasz -type operators approximates to. We've got the equivalent theorem between the derivatives of the linear combinations of the Szasz - type operators and the Ditzian - Totik modulus.

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Available abstract

In this paper, by using the Ditzian - Totik modulusω(?)'λ(f;t) we study the relationship between the derivatives of the linear combinations of the Szasz - type operators and the smoothness of the function the linear combinations of the Szasz -type operators approximates to. We've got the equivalent theorem between the derivatives of the linear combinations of the Szasz - type operators and the Ditzian - Totik modulus.

Key concepts: Mathematics, Smoothness, Modulus, Type (biology), Mathematical analysis, Pure mathematics, Geometry, Ecology

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