Results 21 to 30 of about 220,874 (298)

On Best Approximations in Hyperconvex Spaces [PDF]

Journal of Function Spaces, 2021
In this manuscript, we present further extensions of the best approximation theorem in hyperconvex spaces obtained by Khamsi.
Reny George, Zoran D. Mitrović, Hassen Aydi   +2 more
openaire   +2 more sources

A Characterization of Best Φ-Approximants [PDF]

Transactions of the American Mathematical Society, 1981
Let T T be an operator from an Orlicz space
Landers, D., Rogge, L.
openaire   +1 more source

Best approximation in Orlicz spaces

International Journal of Mathematics and Mathematical Sciences, 1991
Let X be a real Banach space and (Ω,μ) be a finite measure space and ϕ be a strictly icreasing convex continuous function on [0,∞) with ϕ(0)=0. The space Lϕ(μ,X) is the set of all measurable functions f with values in X such that ∫Ωϕ(‖c−1f(t)‖)dμ(t)0 ...
H. Al-Minawi, S. Ayesh
doaj   +1 more source

On best approximation in fuzzy metric spaces [PDF]

, 2015
summary:In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces.
Abbasi, Naser, Mottaghi Golshan, Hamid
core   +1 more source

Best N-Simultaneous Approximation in Lp(μ,X)

Journal of Function Spaces, 2017
Let X be a Banach space.
Tijani Pakhrou
doaj   +1 more source

Best Approximation Results in Various Frameworks

Axioms, 2019
We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained ...
Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri   +2 more
doaj   +1 more source

Best Approximation Results for Fuzzy-Number-Valued Continuous Functions

Axioms, 2023
In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions.
Juan J. Font, Sergio Macario
doaj   +1 more source

Sparse deterministic approximation of Bayesian inverse problems [PDF]

, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart, C Schwab, Stuart, Andrew M., Schwab, Christoph, Schwab, Ch. (Christoph), Stuart, A. M.   +5 more
core   +1 more source

Best Simultaneous Approximation in Orlicz Spaces

International 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   +1 more source

Algorithms and error bounds for multivariate piecewise constant approximation

, 2010
We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
core   +1 more source