BEST_APPROXIMATION

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THE SHARP JACKSON INEQUALITY FOR L^2-APPROXIMATION ON THE PERIODIC CYLINDER
《Acta Mathematica Scientia》2015年第2期375-382,共8页谷懿 刘永平 
supported by National Natural Science Foundation of China(11071019);Beijing Natural Science Foundation(1132001)
We consider Jackson inequality in L^2 （B^d×T, Wκ,μ^B （x））, where the weight function Wκ,μ^B （X） is defined on the ball B^d and related to reflection group, and obtain the sharp Jackson inequalityEn-1,m-1（f...
关键词：Jackson inequality best approximation modulus of continuity weight function 
BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH SPHERICAL MEAN OPERATOR被引量：1
《Acta Mathematica Scientia》2012年第2期455-470,共16页L.T.Rachdi N.Msehli 
Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass transform associated with spherical mean operator. Also, estimates of extremal functions are checked.
关键词：Weierstrass transform spherical mean operator best approximation repro-ducing kernel extremal function 
COINCIDENCE THEOREMS INVOKING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS被引量：2
《Acta Mathematica Scientia》1999年第1期53-61,共9页丁协平 
Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elemen...
关键词：Coincidence theorem maximal element variational inequality best approximation contractible space composites of acyclic mappings 
ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM被引量：1
《Acta Mathematica Scientia》1998年第1期74-78,共5页戴道清 林伟 
This paper concerns with the point-wise convergence of a wavelet series for L-p functions and the characterization of Holder class by both the partial sums approximation and the best approximation.
关键词：WAVELETS periodic function partial sums the best approximation 
VARIATIONAL L^q-APPROXIMATION BY VARISOLVENT FAMILY UNDER THE YOUNG'S CONDITION
《Acta Mathematica Scientia》1997年第3期330-340,共11页罗祖华 
The new Lq approximation methods proposed by A.Pinkus and O.Shisha,which maintains the characteristic feature-alternation-of the classic Chebyshev uniform approximation, is extended to varisolvent approximation under ...
关键词：Varisolvency Young's condition Best approximation Property Z 
MARTINGALE REPRESENTATION IN NEARLY UNIFORMLY CONVEX SPACES
《Acta Mathematica Scientia》1995年第3期352-355,共4页王健华 
In this paper we give a martingale representation in nearly uniformly convex Banach spaces. Our result generalizes the representation theorem established by Landers and Rogge.
关键词：MARTINGALE near uniform convexity uniformly kadec-klee best approximation 
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