APPROXIMATIONS

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On M–Term Approximations of the Nikol'skii–Besov Class in the Lorentz Spaces
《Analysis in Theory and Applications》2017年第3期267-286,共20页G.Akishev 
supported by the Ministry of Education and Science of Republic Kazakhstan(Grant No.5129/GF4);partially by the Russian Academic Excellence Project(agreement between the Ministry of Education and Science of the Russian Federation and Ural Federal University No.02.A03.21.006 of August 27,2013)
In this paper, we consider a Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol＇skii＇s and Besov＇s classes in the Lore...
关键词：Lorentz space Besov＇s class approximation. 
WEIGHTED BEST LOCAL APPROXIMATION IN ORLICZ SPACE被引量：1
《Analysis in Theory and Applications》2008年第3期225-236,共12页S. Favier C. Ridolfi 
We present a common fixed point theorem for generalized asymptotically non- expansive and noncommuting mappings in normed linear spaces.
关键词：best local approximation φ-approximations balanced integers 
A(α)-ACCEPTABILITY OF RATIONAL APPROXIMATIONS TO FUNCTION exp(z)
《Analysis in Theory and Applications》2001年第3期54-59,共6页Yang Fengjian Chen Xinming 
In this paper, two necessary and sufficient conditions, and a sufficient condition of A(α)-acceptability for (n, m) rationa approximation to function exp(z) are given, where a ∈ (0, x/2). A necesary and sufficient c...
BEST MONOTONE L_■-APPROXIMATIONS IN SEVERAL VARIABLES
《Analysis in Theory and Applications》1998年第3期1-10,共10页Miguel Iturrieta Felipe Zó 
Given a continuous function f defined on the unit cube of R^n and a convex function _t,_t(0)-0,_t(x)>0,for x>0,we prove that the set of best L^(t)-approximations by monotone functions has exactly one element ft,which ...
关键词：APPROXIMATIONS IN SEVERAL VARIABLES BEST MONOTONE L 
PROJECTION METHODS AND APPROXIMATIONS FOR ORDINARY DIFFERENTIAL EQUATIONS被引量：1
《Analysis in Theory and Applications》1997年第3期78-90,共13页A. Bensebah F. Dubeau J. Gelinas 
This research has been supported in part by the Natural Sciences and Engineering Research Council of Canada(Grant OGPIN-336)and by the"Ministere de l'Education du Quebec"(FCAR Grant-ER-0725)
A formulation of a differential equation as projection and fixed point pi-Mem alloivs approximations using general piecnvise functions. We prone existence and uniqueness of the up proximate solution* convergence in t...
关键词：PROJECTION METHODS AND APPROXIMATIONS FOR ORDINARY DIFFERENTIAL EQUATIONS ODE 
ON INVARIANT RANDOM APPROXIMATIONS
《Analysis in Theory and Applications》1996年第3期68-72,共5页Ismat Beg Naseer Shahzad 
Supported by Kuwait University Research Grant No, SM- 119.
A result regarding invariant random approximation is proved.
关键词：ON INVARIANT RANDOM APPROXIMATIONS 
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