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The Characterization of the Derivatives for Linear Combinations of Post–Widder Operators inLp |
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| Authors: | Song Li Ren Tai Wang |
| Institution: | a Department of Mathematics, Zhejiang University, Zhejiang, Hangzhou, 310027, People's Republic of China;b School of Science and Arts, Hangzhou Institute of Electronics Engineering, Zhejiang, Hangzhou, 310012, People's Republic of China |
| Abstract: | The aim of the paper is to characterize the global rate of approximation of derivativesf(l)through corresponding derivatives of linear combinations of Post–Widder operators in an appropriate weightedLp-metric using a weighted Ditzian and Totik modulus of smoothness, and also to characterize derivatives of these operators in Besov spaces of Ditzian–Totik type. |
| Keywords: | Post– Widder operators weighted simultaneous approximation linear combination Besov spaces of Ditzian– Totik type |
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