| THE BEST APPROXIMATION CONSTANT FOR THE JACKSON'S TYPE OPERATOR J_(n,3) (f;x) |
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| 引用本文： | 王冠闽. THE BEST APPROXIMATION CONSTANT FOR THE JACKSON'S TYPE OPERATOR J_(n,3) (f;x)[J]. 分析论及其应用, 1992, 8(2): 35-45. DOI: 10.1007/BF02836104 |
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| 作者姓名： | 王冠闽 |
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| 作者单位： | Zhangzhou Teacher's |
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| 摘 要： | In this paper we obtain the best approximation constant of function f(x)(∈C_(2π))by theJackson's type operator J_(π3)(f;x),i.e.‖J_(n,3)(f,x)-f(x)‖_c≤(4-6/π)ω(f,1/n),‖J_(n,3)(f,x)-f(x)‖_c≤(8-17/π)ω_2(f,1/n)
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The best approximation constant for the Jackson’s type operator Jn,3(f;x) |
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| Wang Guanmin. The best approximation constant for the Jackson’s type operator Jn,3(f;x)[J]. Analysis in Theory and Applications, 1992, 8(2): 35-45. DOI: 10.1007/BF02836104 |
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| Authors: | Wang Guanmin |
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| Affiliation: | 1. Zhangzhou Teachers’ Colleges, 363000, Fujian, Zhangzhou, PRC
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| Abstract: | In this paper we obtain the best approximation constant of function f(x) (∈C2π) by the Jackson’s type operator Jn,3(f; x), i.e. $$begin{gathered} left| {J_{n,3} left( {f,x} right) - fleft( x right)} right|_c leqslant left( {4 - frac{6}{pi }} right)omega left( {f - frac{1}{n}} right), hfill left| {J_{n,3} left( {f,x} right) - fleft( x right)} right|_c leqslant left( {8 - frac{{17}}{pi }} right)omega _2 left( {f - frac{1}{n}} right) hfill end{gathered} $$ . |
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