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推广的Baskakov-Durrmeyer型算子在Orlicz空间内的逼近

Approximation for a generalization of Baskakov-Durrmeyer operators in Orlicz space
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摘要 根据Baskakov-Durrmeyer算子的有关性质,利用N函数的凸性、Jensen不等式、HardyLittlewood极大函数和光滑模等,讨论了Baskakov-Durrmeyer算子的Bezier变形形式在Orlicz空间内逼近的有关结论. According to the nature of Baskakov-Durrmeyer operators, the convex property of N-function, Jensen inequality, Hardy-Littlewood great function and modulus of smoothness we used as tools to prove approximation theorems of the operators in Orlicz space.
出处 《高师理科学刊》 2015年第9期1-2,共2页 Journal of Science of Teachers'College and University
基金 国家自然科学基金资助项目(11161033) 内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-036) 内蒙古师范大学研究生科研创新基金资助项目(CXJJS14053)
关键词 推广的Baskakov-Durrmeyer算子 ORLICZ空间 K泛函 逼近 generalized Baskakov-Durrmeyer operators Orlicz space K -functional approximation
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