Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Hector H. Cuenya"'
Autor:
Fabián Eduardo Levis, Hector H. Cuenya
Publikováno v:
Optimization. 65:1519-1529
In this paper, we give a characterization of best Chebyshev approximation to set-valued functions from a family of continuous functions with the weak betweeness property. As a consequence, we obtain a characterization of Kolmogorov type for best simu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd78948d15f67644b64fd6aef13922ce
https://doi.org/10.1080/02331934.2016.1163554
https://doi.org/10.1080/02331934.2016.1163554
Publikováno v:
Numerical Functional Analysis and Optimization. 37:145-158
In this article, we introduce the τ condition, which is weaker than the L2 differentiability. If a function satisfies the τ condition on two points of, we prove the existence and characterization of the best local polynomial approximation on these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa95780c9d8f6646373adcd4ac981ff
https://doi.org/10.1080/01630563.2015.1091777
https://doi.org/10.1080/01630563.2015.1091777
Autor:
Fabián Eduardo Levis, Hector H. Cuenya
Publikováno v:
Ann. Funct. Anal. 6, no. 2 (2015), 69-77
Given a finite set Y in a reflexive Banach space F and a family C of closed subspaces of F, we study the problem of finding a subspace W in C that best approximates the data Y in the sense that sum_{f in Y} d(f,W) = min_{V in C} sum_{f in Y} d(f,V),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54b649fabfdcea4f2f5b7c2db20ae8bc
https://doi.org/10.15352/afa/06-2-7
https://doi.org/10.15352/afa/06-2-7
Publikováno v:
Ann. Funct. Anal. 4, no. 2 (2013), 87-96
In this paper, we prove existence of optimal bundles for a countable set of data in a broad class of normed spaces, which extend previous known results for a finite data set in a Hilbert space. In addition, we s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::351e0fe1b2debec76abe1e72aeefa7a1
https://doi.org/10.15352/afa/1399899527
https://doi.org/10.15352/afa/1399899527
Publikováno v:
Journal of Mathematical Analysis and Applications. 393:80-88
The best polynomial approximation operator was recently extended by one of the authors from L p to L p − 1 . In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial approximation operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::017f41fb421f4c44501541d535c8c6da
https://doi.org/10.1016/j.jmaa.2012.02.067
https://doi.org/10.1016/j.jmaa.2012.02.067
Publikováno v:
Numerical Functional Analysis and Optimization. 32:1127-1145
We get results in Orlicz spaces L φ about best local approximation on non-balanced neighborhoods when φ satisfies a certain asymptotic condition. This fact generalizes known previous results in L p spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c1e5fc75f18a2a15b4730b849421440
https://doi.org/10.1080/01630563.2011.590264
https://doi.org/10.1080/01630563.2011.590264
Publikováno v:
ISRN Mathematical Analysis. 2011:1-8
We study the problem to approximate a data set which are affected in a such way that they present us as a band in the plane. We introduce a deviation measure, and we research the asymptotic behavior of the best approximants when the band shrink in so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fbe57464fbd30b41cfa96101b945d18
https://doi.org/10.5402/2011/147026
https://doi.org/10.5402/2011/147026
Autor:
Hector H. Cuenya
Publikováno v:
Journal of Mathematical Analysis and Applications. 376:565-575
Let ( Ω , A , μ ) be a finite measure space. In this paper we extend the operator of the best generalized polynomial approximation from the space L p ( Ω ) to the space L p − 1 ( Ω ) , 1 p ∞ , as the unique operator preserving the property of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a89efc521e93c94245ef87f5a8c03b99
https://doi.org/10.1016/j.jmaa.2010.10.037
https://doi.org/10.1016/j.jmaa.2010.10.037
Autor:
Hector H. Cuenya, Fabián Eduardo Levis
Publikováno v:
Journal of Approximation Theory. 162(9):1577-1587
We consider best simultaneous approximation to k continuous functions on an interval [a,b] from a finite dimensional subspace of C[a,b], with respect to the functionals @?"j"="1^k@j(@!"a^b@f(|f"j|)) and max"1"@?"j"@?"k@!"a^b@f(|f"j|) for suitable rea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9555398ac999737f94b2904f88acefd
Autor:
F.E. Levis, Hector H. Cuenya
Publikováno v:
Journal of Mathematical Analysis and Applications. 336(2):953-961
In this paper, we establish the following conjecture: There exists a constant K such that every lemniscate E(α,c), α∈Cn, c>0, contains a disk B(α,c) with μ(E(α,c))⩽Kμ(B(α,c)), where μ is the planar measure. We prove this conjecture for an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5ee2a28ec0dba1fda533de1a7090b9e