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Best comonotone approximation [PDF]

Transactions of the American Mathematical Society, 1994
The authors have described a general theory of best comonotone approximation in \(C[a,b]\) by elements of an \(n\)-dimensional extended Chebyshev subspace. Two theorems on characterizations are studied which seem to be useful for the actual computation of best comonotone approximations.
Deutsch, Frank, Zhong, Jun
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Convergence of Best Best L ∞ -Approximations [PDF]

Proceedings of the American Mathematical Society, 1981
Let ( Ω ,
Abdallah M. Al-Rashed, Richard B. Darst
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NEGATIVE THEOREM FOR LP,0

Journal of Kufa for Mathematics and Computer, 2017
For a given nonnegative integer number n, we can find a monotone function f depending on n, defined on the interval I=[-1,1], and an absolute constant c>0, satisfying the following relationship: (2〖E_n (f ́ )〗_p)/(n+1)^3 ≤〖E_(n+1)^1 (f)〗_pâ ...
GHAZI ABDULLAH Madlol
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On Best Simultaneous Approximation

Journal of Approximation Theory, 1997
Let \(X\) be a compact Hausdorff space, \(Y\) be a normed linear space, \(C(X, Y)\) be the vector space of continuous functions from \(X\) to \(Y\) and \(S\) be a subspace of \(C(X, Y).\) Suppose that \(C(X, Y)\) is normed with a given norm \(\| \cdot\| _A\) and that \(U\) is the unit ball of \((\mathbb R^n, \| \cdot\| _B).
Li, Chong, Watson, G.A
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Counterexamples in best approximation [PDF]

Proceedings of the American Mathematical Society, 1976
Several counterexamples for approximation to continuous functions by polynomials are given. One example shows that the points of maximum deviation of a continuous real valued function on an interval from its polynomial of degree n
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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.
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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
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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
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Best N-Simultaneous Approximation in Lp(μ,X)

Journal of Function Spaces, 2017
Let X be a Banach space.
Tijani Pakhrou
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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
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