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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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 
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 
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 
Strong Converse Inequalities for Certain Mixed Szász-Beta Operators被引量：2
《Chinese Quarterly Journal of Mathematics》2011年第1期152-158,共7页QI Qiu-lan ZHANG Yu-ping 
Supported by National Science Foundation of China（10571040）
In this paper,a strong converse inequality of type B in terms of a new Kfunctional Kλα f,t2(0 < α < 2,0 ≤λ≤ 1) for certain mixed Szász-Beta operators is given.By this inequality,the converse theorem can be obta...
关键词：Szász-Beta operators K-FUNCTIONAL strong converse inequality Hlder inequality 
Approximation by Modified Summation Integral Type Operators in the L_p Spaces被引量：2
《Journal of Mathematical Research and Exposition》2009年第6期1069-1081,共13页齐秋兰 郭顺生 李建坤 
the National Natural Science Foundation of China (No.10571040)
The generalized summation integral type operators with Beta basis functions are widely studied. At present, the investigations for the properties of these operators are only limited to the functions of bounded variati...
关键词：Beta operators K-FUNCTIONAL moduli of smoothness Riesz-Thorin interpolationtheorem H61der inequality. 
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 
The Pointwise Estimate for Stancu-Sikkema Operators
《Journal of Mathematical Research and Exposition》2003年第1期59-64,共6页刘喜武 郭顺生 刘丽霞 
Supported by NSF of Hebei Province(101090)
In this paper, we construct Stancu-Sikkema operators and obtain the point-wise direct and converse theorems in terms of pointwise modulus of smoothness. Some results about Bernstein-Sikkema operators and Stancu operat...
关键词：Stancu-Sikkema operators modulus of smoothness K-functional. 
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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