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THE L_p-SATURATION RESULTS WEIGHTED SIMULTANEOUS APPROXIMATION BY THE METHOD OF BERNSTEIN-DURRMEYER OPERATORS 被引量:1

THE L_p-SATURATION RESULTS WEIGHTED SIMULTANEOUS APPROXIMATION BY THE METHOD OF BERNSTEIN-DURRMEYER OPERATORS
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摘要 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. 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.
出处 《Analysis in Theory and Applications》 1998年第2期78-89,共12页 分析理论与应用(英文刊)
基金 Supported by NSF of Hebei Province.
关键词 oscillatory integral operator MULTIPLIER SINGULARITY oscillatory integral operator multiplier singularity
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