Results 1 to 10 of about 27,642 (137)

Best Simultaneous Approximation in Orlicz Spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let X be a Banach space and let LΦ(I,X) denote the space of Orlicz X-valued integrable functions on the unit interval I equipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, where G is a closed subspace of X,
M. Khandaqji, Sh. Al-Sharif
doaj   +2 more sources

New Characterization for Nonlinear Weighted Best Simultaneous Approximation [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
This paper is concerned with the problem of a wide class of weighted best simultaneous approximation in normed linear spaces, and it establishes a new characterization result for the class of approximation by virtue of the notion of simultaneous regular ...
Xianfa Luo, Delin Wu, Jinsu He
doaj   +3 more sources

Interpolation and best simultaneous approximation

open access: yesJournal of Approximation Theory, 2010
The paper deals with best simultaneous approximation (b.s.a.) to \(k\) continuous functions on the interval \([a,b]\) from a finite subspace of \(C[a,b]\). The authors establish the limit of the b.s.a., which is important to provides qualitative and approximation analytic information concerning the the b.s.a.
Héctor Cuenya, Fabián E. Levis
exaly   +2 more sources

Exact SER Analysis of Partial-CSI-Based SWIPT OAF Relaying over Rayleigh Fading Channels and Insights from a Generalized Non-SWIPT OAF Approximation [PDF]

open access: yesSensors
This paper investigates the error rate performance of simultaneous wireless information and power transfer (SWIPT) systems employing opportunistic amplify-and-forward (OAF) relaying under Rayleigh fading conditions.
Kyunbyoung Ko, Seokil Song
doaj   +2 more sources

Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced.
Hossain Alizadeh Nazarkandi
doaj   +3 more sources

On a problem of simultaneous best approximation

open access: yesJournal of Numerical Analysis and Approximation Theory, 1974
Not available.
G. Cimoca
doaj   +4 more sources

A class of best simultaneous approximation problems

open access: yesComputers and Mathematics With Applications, 1996
Let \((X, |\cdot |)\) be a normed linear space. Let \(\rho\) be a norm on \(\mathbb{R}^2\). For \(w= (x,y) \in X \times X= X^2\), \(\beta (t)= \rho(|x|, |y|)\) is a norm on \(X^2\). Let \(S \subseteq X\) and \(\widetilde S = \{(s,s) \in X^2: s\in S\}\). Given an \(F= (x,y) \in X^2\), the problem of best simultaneous approximation involves detailing the
Chong Li, G A Watson
exaly   +2 more sources

On best simultaneous approximation in quotient spaces

open access: yesAnalysis in Theory and Applications, 2007
Summary: We assume that \(X\) is a normed linear space, \(W\) and \(M\) are subspaces of \(X\). We develop a theory of best simultaneous approximation in quotient spaces and introduce equivalent assertion between the subspaces \(W\) and \(W+M\) and the quotient space \(W/M\).
Hossein Mohebi, Mohebi H
exaly   +2 more sources

Best simultaneous approximation of an infinite set of functions

open access: yesComputers and Mathematics With Applications, 1999
Let\(( X,\|\cdot\|_{X}) \) be a normed linear space and let \(( B,\|\cdot\|_{B}) \) be a normed linear space of sequences \(\{ a_{i}\} _{i=1}^{\infty }.\) Let \(F=( \varphi _{1},\varphi _{2},\dots ,\varphi _{i},\dots) \) be a fixed sequence in \(X\) and let \[ \|F\|=\max \Biggl\{\Biggl\|\sum_{i=1}^{\infty }a_{i}\varphi _{i}\Biggr\|_{X}:a=\{ a_{i}\} _{i=
Chong Li, G A Watson
exaly   +3 more sources

Existence of invariant points and applications to simultaneous approximation [PDF]

open access: yesBulletin of Natural Sciences Research, 2022
For the set of e-simultaneous approximation and e-simultaneous coapproximation, we derive certain Brosowski-Meinardus type invariant point results in this paper.
Chandok Sumit, Narang T. D.
doaj   +1 more source

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