| APPROXIMATION BY A CLASS OF MODIFIED SZASZ-DURRMEYER OPERATORS |
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| 作者姓名： | 李秉政 |
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| 作者单位： | Department of Mathematics，Hangzhou University，Hangzhou 310028，China |
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| 摘 要： | ThisprojectissupportedbyZhejiangProvincialFoundationofChina.1.IntroductionForjEC0,1]ther-thBernsteinpolynomialisdefinedbyItwasshownbyH.BerensandG.G.Lorentz(2]in1972)thatif0
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APPROXIMATION BY A CLASS OF MODIFIED SZASZ-DURRMEYER OPERATORS |
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| LI BINGZHENG.APPROXIMATION BY A CLASS OF MODIFIED SZASZ-DURRMEYER OPERATORS[J].Acta Mathematicae Applicatae Sinica,1997(2). |
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| Authors: | LI BINGZHENG |
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| Abstract: | We modify Sz sz-Durrmeyer operators by means of three-diagonal generalized matrix which overcomes a difficulty in extending a Berens-Lorentz result to the Sz sz-Durrmeyer operators for second order of smoothness. The direct and converse theorems for these operators in Lp are also presented by Ditzian-Totik modulus of smoothness. |
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| Keywords: | Szasz-Durrmeyer operators matrix modulus of smoothness |
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