TheL p-saturation results weighted simultaneous approximation by the method of Bernstein-Durrmeyer operators |
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Authors: | Guo Shunsheng Li Cuixiang |
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Affiliation: | (1) Department of Mathematics, Hebei Teachers University, 050016 Shijia zhuang Hebei, P. R. China |
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Abstract: | The aim of the present paper is to prove new equivalence results and Lp-stauration results on weighted simultaneous approximation by the method of Bernstein-Durrmeyer operators (including results in [7]). One of the main tools and crucial estimates managing the converse results is given by a direct modified Vornorskaja theorem which uses the third order weighted modulus of smoothness. Supported by NSF of Hebei Province. |
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