Local Approximation by Modified Szász Operators

Zhu-Rui  Guo; Ding-Xuan Zhou

doi:10.1006/jmaa.1995.1358

Local Approximation by Modified Szász Operators

Zhu-Rui Guo, Ding-Xuan Zhou

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

The concept of locally Hölder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally Hölder continuous functions and of locally Hölder continuous functions at one point. Then the local approximation by modified Szász operators is considered. The locally Hölder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Szász operators.

Original language	English
Pages (from-to)	323-334
Journal	Journal of Mathematical Analysis and Applications
Volume	195
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1995.1358
Publication status	Published - 15 Oct 1995
Externally published	Yes

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title = "Local Approximation by Modified Sz{\'a}sz Operators",

abstract = "The concept of locally H{\"o}lder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally H{\"o}lder continuous functions and of locally H{\"o}lder continuous functions at one point. Then the local approximation by modified Sz{\'a}sz operators is considered. The locally H{\"o}lder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Sz{\'a}sz operators. ",

author = "Zhu-Rui Guo and Ding-Xuan Zhou",

year = "1995",

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AU - Zhou, Ding-Xuan

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N2 - The concept of locally Hölder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally Hölder continuous functions and of locally Hölder continuous functions at one point. Then the local approximation by modified Szász operators is considered. The locally Hölder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Szász operators.

AB - The concept of locally Hölder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally Hölder continuous functions and of locally Hölder continuous functions at one point. Then the local approximation by modified Szász operators is considered. The locally Hölder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Szász operators.

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U2 - 10.1006/jmaa.1995.1358

DO - 10.1006/jmaa.1995.1358

M3 - RGC 21 - Publication in refereed journal

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VL - 195

SP - 323

EP - 334

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Local Approximation by Modified Szász Operators

Abstract

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