云南高校图书馆联盟文献共享服务平台- K-FUNCTIONAL

K-FUNCTIONAL: 作品数：24被引量：12H指数：2; 导出分析报告; 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>>

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

Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ被引量：1: 《Computer Modeling in Engineering & Sciences》2022年第3期1479-1493,共15页Qingbo Cai Resat Aslan; This work is supported by the Natural Science Foundation of Fujian Province of China(Grant No.2020J01783);the Project for High-Level Talent Innovation and Entrepreneurship of Quanzhou(Grant No.2018C087R);the Program for New Century Excellent Talents in Fujian Province University.; The main purpose of this paper is to introduce some approximation properties of a Kantorovich kind q-Bernstein operators related to B′ezier basis functions with shape parameterλ∈[−1,1].Firstly,we compute some basic...; 关键词：Q-CALCULUS (λ q)-Bernstein polynomials order of convergence Lipschitz-type function Peetre’s K-functional

Direct Result for a Summation-Integral Type Modification of Szasz–Mirakjan Operators: 《Analysis in Theory and Applications》2020年第2期217-224,共8页Vishnu Narayan Mishra R.B.Gandhi; In this paper,study of direct result for a summation-integral type modification of Szasz-Mirakjan operators is carried out.Calculation of moments,density result and a Voronvskaja-type result are also obtained.; 关键词：Sz'asz-Mirakjan operators K-FUNCTIONAL modulus of smoothness Voronovskaja-type result

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.

Equivalence between Modulus of Smoothness and K-Functional on Rotation Group SO(3): 《Journal of Applied Mathematics and Physics》2017年第2期341-345,共5页Zhuyuan Yang Zongwen Yang; In this paper we obtain the equivalence between modulus of smoothness and K-functional on rotation group SO(3).; 关键词：ROTATION GROUP MODULUS of SMOOTHNESS K-FUNCTIONAL EQUIVALENCE

A SPECIAL MODULUS OF CONTINUITY AND THE K-FUNCTIONAL: 《Acta Mathematica Scientia》2016年第5期1531-1540,共10页Nadezhda DOLMATOVA; We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre’s K-function...; 关键词：modulus of continuity K-FUNCTIONAL Jackson's theorem

Stechkin-Marchaud Type Inequalities in L<sub>p</sub> for Linear Combination of Bernstein-Durrmeyer Operators: 《Open Journal of Applied Sciences》2012年第4期228-232,共5页Feng Guo Meiqin Ke; In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we ob...; 关键词：BERNSTEIN-DURRMEYER OPERATORS linear combination K-FUNCTIONAL Stechkin-Marchaud-type inequalities modulus of smoothness

Strong Converse Inequality for the Meyer-Knig and Zeller-Durrmeyer Operators: 《Communications in Mathematical Research》2012年第1期1-9,共9页QI QIU-LAN LIU JUAN; The NSF (10571040) of China;NSF (L2010Z02) of Hebei Normal University; In this paper we give a strong converse inequality of type B in terms of unified K-functional Kλα （f, t2）（0 ≤λ≤ 1, 0 〈 α 〈 2） for the Meyer-Knig and Zeller-Durrmeyer type operators.; 关键词：Meyer-Konig and Zeller-Durrmeyer type operator moduli of smooth-ness K-functional strong converse inequality HOder＇s inequality

Approximation by q Baskakov Beta Operators被引量：2: 《Acta Mathematicae Applicatae Sinica》2011年第4期569-580,共12页Vijay GUPTA Ali ARAL; In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞）. Then we obta...; 关键词：q-Baskakov operators q-Baskakov-Beta operators modulus of continuity K-FUNCTIONAL weighted approximation rate of approximation q-Beta integral

Asymptotic Formulae for Multivariate Kantorovich Type Generalized Sampling Series: 《Acta Mathematica Sinica,English Series》2011年第7期1247-1258,共12页Carlo BARDARO Ilaria MANTELLINI; In this paper an asymptotic formula of Voronovskaja type for a multivariate extension of the Kantorovich generalized sampling series is given. Moreover a quantitative version in terms of some moduli of smoothness is e...; 关键词：Voronovskaja-type formula MOMENTS multivariate Kantorovich generalized sampling series Peetre K-functional

K-FUNCTIONAL