Equivalent theorems on simultaneous approximation by combinations of Gamma operators |
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| Authors: | Liangcheng Mao Xueyan Xiang Wenshan Yang |
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| Affiliation: | [1]Luqiao Middle SchoolTaizhou, Zhejiang 328050P. R. China [2]Zhejiang Normal University Jinhua,Zhejiang 321004E R. China [3]Lishui UniversityLishui, Zhejiang 323000P. R. China [4]Zhejiang Normal UniversityJinhua, Zhejiang 321004P. R. China |
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| Abstract: | In this paper,some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωr(4)λ(f,t)w(4)s(O≤λ≤1)are given.The relation between derivatives of combinations of Gamma operators and smoothness of derivatives of functions is also investigated. |
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| Keywords: | Gamma operator simultaneous approximation weighted moduli of smoothness |
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