Approximation by a class of modified Szász-Durrmeyer operators |
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| Authors: | Bingzheng Li |
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| Institution: | (1) Department of Mathematics, Hangzhou University, 310028 Hangzhou, China |
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| Abstract: | We modify Szász-Durrmeyer operators by means of three-diagonal generalized matrix which overcomes a difficulty in extending a Berens-Lorentz result to the Szász-Durrmeyer operators for second order of smoothness. The direct and converse theorems for these operators inL
p
are also presented by Ditzian-Totik modulus of smoothness.This project is supported by Zhejiang Provincial Foundation of China. |
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| Keywords: | Szá sz-Durrmeyer operators matrix modulus of smoothness |
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