| STRONG CONVERSE INEQUALITY FOR SZASZ-DURRMEYER OPERATORS |
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| 作者姓名： | LISONG |
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| 作者单位： | Department of Applied Mathematics,Zhejiang University,Hangzhou 310027. |
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| 摘 要： | For Szasz-Durrmeyer operators Ln (f,z), 1＜ p≤∞, we prove that, forsome m, w^2φ(f,1/√n)p ≤(≤M(││Ln,f,x) - ,f││p ││Lmn(f, x) -f││p),where φ(x)^2 =x, M ＞0,w^2φ(f,t)p is Ditzian-Totik modulus of smoothness.
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| 关 键 词： | 强逆不等式 Szasz-Durrmeyer算子 Ditzian-Totik模数 界限算子 修正函数 |
Strong converse inequality for szász-durrmeyer operators |
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| LISONG.STRONG CONVERSE INEQUALITY FOR SZASZ-DURRMEYER OPERATORS[J].Applied Mathematics A Journal of Chinese Universities,1996,11(3):361-368. |
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| Authors: | LI Song |
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| Institution: | 1. Department of Applied Mathematics, Zhejiang University, 310027, Hangzhou
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| Abstract: | For Szász-Durrmeyer operatorsL n (?,x), 1 < p ≤∞, we prove that, for somem, $$w_\varphi ^2 \left( {f,\frac{1}{{\sqrt n }}} \right)p \leqslant M(||Ln(f,x) - f||p + ||L_{mn} (f,x) - f||p),$$ where $\varphi (x)^2 = x,M > 0,w_\varphi ^2 (f,t)_p $ is Ditzian-Totik modulus of smoothness. |
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| Keywords: | Szasz-Durrmeyer operators strong converse inequality Ditzian-Totik modulus of smoothness |
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