CAJ | 학술논문

研究修正的 Baskakov 算子(),nV f x?的逼近性,在“保持 x2的 Baskakov 算子逼近”将 Baskakov 算子修正为(),nV f x?,并利用统一光滑模(),f tωλφ研究其收敛速度的基础上,利用 K-泛函和光滑模的等价性讨论了修正的 Baskskov 算子点态逼近阶的特征刻画,得出了逼近正逆定理.扩展了以前的一些结果.
연구수정적 Baskakov 산자(),nV f x?적핍근성,재“보지 x2적 Baskakov 산자핍근”장 Baskakov 산자수정위(),nV f x?,병이용통일광활모(),f tωλφ연구기수렴속도적기출상,이용 K-범함화광활모적등개성토론료수정적 Baskskov 산자점태핍근계적특정각화,득출료핍근정역정리.확전료이전적일사결과.
@@@@Mathematics & Information, Hebei Normal University of Science & Technology, Qinhuangdao 066004, China) Baskskov operators have been modified as the operators ( )xfV?n , and it’s rate of convergence has been investigated by means ofωλ?( )tf , in the published thesis “Approximation of Baskakov Operators Which Preserve 2x ”. In order to study the approximation of the modified Baskskov operators, the paper discusses the feature description of the pointwise approximation order of Baskskov operators using the K- functional and smooth modulus’ equivalence, and draws the direct and converse theorem of the operator. The results extend some previous achievements.