检索结果-南通市图书馆

A SPECIAL MODULUS OF CONTINUITY AND THE k-functional

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2016年第5期36卷 1531-1540页

作者： Nadezhda DOLMATOVA Institute of Mathematics University of Wroc law

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... 详细信息

关键词： modulus of continuity k-functional Jackson's theorem

Equivalence between Modulus of Smoothness and k-functional on Rotation Group SO(3)

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2017年第2期5卷 341-345页

作者： Zhuyuan Yang Zongwen Yang School of Mathematics and computer Science Yunnan Minzu University Kunming China Department of Mathematics Yunnan University Kunming China

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

BESOV SPACES AND k-functionalS IN L_p, 0

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2000年第3期16卷 258-265页

作者：李松吴正昌马柏林 Department of Mathematics Zhejiang University Hangzhou China Department of Applied Mathematics Huna University Changsha China

We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entire function of exponential type approximation in Lp(R), and characterize k-functionals for certain pairs of function spaces including (Lp [-π,π], B_s~α (Lp[-π，π])), (L_p(R),B_s~α (Lp(R))), (Lp[-1,1],B_s~α (Lp[-1,1])), and (Lp(S),B_s~α (Lp(S))), where 0

关键词： Besov space k-functional Lp space (0

在线全文

学校读者我要写书评

暂无评论

Qp空间中k-泛函与光滑模等价性

高等学校计算数学学报 2015年第4期37卷 348-359页

作者：陈英伟赵秀恒李子芳河北经贸大学数统学院

1引言令g（·,w）为复平面单位圆盘D（|z|<1）上极点在W的Green函数g（z,w）=-log|φ;（z）|,z,w∈D,其中φ;为从D到其上的M（o|¨）bius变换φ;（z）=（w-z）/（1-wz）.记H（D）为D上全纯函数全体,dm（z）为Lebesgue测度.称函数f属于Q;空间（0≤P<∞）是指f（z）∈H（D）且满足||f||;:=supw∈D∫;|f’（z）|;g;（z,w）dm（z）<+∞.易知;,||·||;为半模.若取模为|f（0）|+||f||;,则Q;空间为Banach空间,且有

关键词： Q_p space k-functional modulus of smoothness equivalence

Approximation by q Baskakov Beta Operators

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2011年第4期27卷 569-580页

作者： Vijay GUPTA Ali ARAL School of Applied Sciences Netaji Subhas Institute of TechnologySector 3 DwarkaNew Delhi-110078India Department of Mathematics Kirikkale UniversityFaculty of Science and ArtsYah sihanKirikkaleTurkey

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... 详细信息

关键词： q-Baskakov operators q-Baskakov-Beta operators modulus of continuity k-functional weighted approximation rate of approximation q-Beta integral

在线全文

学校读者我要写书评

暂无评论

ON WAVELETS IN L_1

Acta Mathematicae Applicatae Sinica 1994年第1期10卷 69-74页

作者：周定轩 Department of Mathematics and Advanced Institute of Mathematics Zhejiang University Hangzhou China

In this paper we give a method to characterize the smoothness of functions in L1 by an r-regular multiresolution analysis and its derivatives.

关键词： Wavelets r-regular multiresolution analysis k-functional Moduli of smoothness

Strong Converse Inequality for Left Gamma Quasi-Interpolants

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2005年第1期21卷 115-124页

作者： Qiu-lanQi Shun-shengGuo CollegeofMathematicsandInformationScience HebeiNormalUniversityShijiazhuang050016China

Abstract The rate of convergence for the Gamma operators cannot be faster than $$O{\left( {\frac{1}{n}} \right)}$$. In order to obtain much faster convergence, quasi-interpolants in the sense of Sablonnière are considered. For the first time in the theory of quasi-interpolants, the strong converse inequality is solved in sup-norm with the k-functional $$k^{\alpha }_{\lambda } {\left( {f,t^{{2r}} } \right)}\;{\left( {0 \leqslant \lambda \leqslant 1,\;0

关键词： gamma quasi-interpolant strong converse inequality k-functional

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP -In memory of Professor Sun Yongsheng

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2007年第1期23卷 50-63页

作者： kunyang Wang Feng Dai School of Mathematical Sciences Beijing Normal University Beijing 100875 P. R. China Department of Mathematical and Statistical Sciences CAB 632 University of Alberta Edmonton Alberta Canada T6 2G1

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 research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and k-functionals; kolmogorov and linear widths.

关键词： spherical harmonics Fourier-Laplace expansion convergence approximation smoothness k-functional width

Direct Result for a Summation-Integral Type Modification of Szasz–Mirakjan Operators

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2020年第2期36卷 217-224页

作者： Vishnu Narayan Mishra R.B.Gandhi Department of Mathematics Indira Gandhi National Tribal UniversityLalpurAmarkantak 484887Madhya PradeshIndia L.1627 Awadh Puri Colony Beniganj Phase-IIIOpposite–Industrial Training Institute(ITI)Ayodhya Main RoadFaizabadUttar Pradesh 224001India Department of Mathematics BVM Engineering CollegeVallabh Vidyanagar–388120(Gujarat)India

In this paper,study of direct result for a summation-integral type modification of Szasz-Mirakjan operators is carried *** 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