K-FUNCTIONAL

作品数：24被引量：12H指数：2
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相关领域：理学更多>>
相关作者：刘喜武孙德华刘丽霞吴嘎日迪刘三阳更多>>
相关机构：河北经贸大学西安电子科技大学内蒙古师范大学河北师范大学更多>>
相关期刊：《Science China Mathematics》《高等学校计算数学学报》《Analysis in Theory and Applications》《Open Journal of Applied Sciences》更多>>
相关基金：国家自然科学基金福建省自然科学基金内蒙古自治区自然科学基金更多>>
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Jackson-type inequalities on high-dimensional spheres
《Science China Mathematics》2024年第11期2571-2586,共16页Yeli Niu Feng Dai 
supported by National Natural Science Foundation of China(Grant No.12201412);supported by the Natural Sciences and Engineering Research Council of Canada。
We study Jackson's inequality on high-dimensional spheres with respect to the modulus of smoothness defined via the rotation group.We obtain a version of Jackson's inequality with a dimensionfree constant,extending Ne...
关键词：modulus of smoothness K-FUNCTIONAL Jackson's inequality high-dimensional approximation 
一类Post-Widder昇子的线性组合在Orlicz空间内的逼近
《高等学校计算数学学报》2019年第4期333-345,共13页高媛 吴嘎日迪 
国家自然科学基金资助项目(11761055);内蒙古自然科学基金资助项目(2017MS0123).
In this paper we study the weight approximation problems of a class of linear combination operators of Post-Widder.By using the tools of Haxdy-Littlewood maximal function,convex property of N function,Jensen Inequalit...
关键词：Post-Widder linear combination APPROXIMATION K-FUNCTIONAL modulus of smoothness. 
APPROXIMATION PROPERTIES OF rth ORDER GENERALIZED BERNSTEIN POLYNOMIALS BASED ON q-CALCULUS被引量：1
《Analysis in Theory and Applications》2011年第1期40-50,共11页Honey Sharma 
In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by us...
关键词：q- integers q-Bernstein polynomials A-statistical convergence modulus ofcontinuity Lipschitz class Peetre＇s type K-functional 
RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP -In memory of Professor Sun Yongsheng
《Analysis in Theory and Applications》2007年第1期50-63,共14页Kunyang Wang Feng Dai 
Supported by the NSF of China under the Grant 10471010;partially by the NSERC Canada under Grant G121211001
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the researc...
关键词：spherical harmonics Fourier-Laplace expansion convergence APPROXIMATION SMOOTHNESS K-FUNCTIONAL width 
Inverse Theorem of Approximation in L_p for the Stancu Integral-type Operators on a Simplex
《Chinese Quarterly Journal of Mathematics》2006年第1期4-9,共6页ZHANG Chun-gou 
Supported by the NNSF of China(10371080);Supported by the Educational Committee Foundation of Beijing(01KJ-101)
In this paper, the integral-type Stancu operators on a simplex is considered and its inverse theorem of approximation in Lp（1≤ p 〈＋∞）has been obtained.
关键词：SIMPLEX K-FUNCTIONAL the integral-type Stancu operators inverse theorem of approximation 
WEIGHTED L_p-APPROXIMATION OF DERIVATIVES BY THE METHOD OF BETA OPERATORS被引量：1
《Acta Mathematica Scientia》1999年第S1期575-582,共8页宋儒瑛 
Zhejiang Provincial Science Foundation!(194002)
The author consides Beta operators βnf on suitable Sobolev type subspace of Lp[0, ∞) and characterizes the global rate of approximation of derivatives f(r) through corresponding derivatives (βnf)(r) in an appropria...
关键词：Beta operators weighted modulus of smoothness weighted K-functional 
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