| 摘要: |
| 本文研究了lbragimov-Gadjiev-Durrmeyer算子在Orlicz空间内的逼近问题.借助了Jensen不等式, $H\ddot{o}lder$不等式, K泛函, 光滑模等工具,获得了lbragimov-Gadjiev-Durrmeyer算子在Orlicz空间内的逼近度,以及该算子的加权逼近, 推广了lbragimov-Gadjiev-Durrmeyer算子在$L_p$空间中的逼近度及加权逼近. |
| 关键词: lbragimov-Gadjiev-Durrmeyer算子 逼近性质 加权 Orlicz空间 |
| DOI： |
| 分类号:O174.41 |
| 基金项目:国家自然科学基金资助项目(11761055);内蒙古师范大学硕士研究生科研创新基金项目 (CXJJS21121). |
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| ON THE APPROXIMATION PROPERTIES OF LBRAGIMOV-GADJIEV-DURRMEYER OPERATORS IN ORLICZ SPACES |
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LI Xin-xin1, WU Garidi1,2
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1.College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;2.Inner Mongolia Center of Applied Mathematics, Hohhot 010022, China
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| Abstract: |
| In this paper, we study the approximation of lbragimov-Gadjiev-Durrmeyer operators by feat of Jensen inequation, Hölder inequation, K-function and Moduli of smoothness. This paper provides the rate of approximation of lbragimov-Gadjiev-Durrmeyer operators in Orlicz spaces, meanwhile studies it’s weighted properties, generalizes the rate of approximation and weighted properties of lbragimov-Gadjiev-Durrmeyer operators in Lp spaces. |
| Key words: lbragimov-Gadjiev-Durrmeyer operators approximation properties weighted Orlicz spaces |
