Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo +6 more
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Weierstrass' theorem in weighted Sobolev spaces with k derivatives [PDF]
, 2007 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2382639 (2008m:41022)Zbl#: Zbl 1177.41007We characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm $$ \ \ ^{(j)}\ {W^{k,\infty}_w}=
Tourís, Eva +3 more
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Kernels and best approximations related to the system of ultraspherical polynomials [PDF]
, 2005 22 pages, no figures.-- MSC2000 codes: 41A10; 41A17; 41A25; 42C10; 33C45.MR#: MR2129477 (2005k:41087)Zbl#: Zbl 1074.41003We study the uniformly bounded orthonormal system $ \Cal U_\lambda $ of functions $$ u_n (\lambda )}(x)=\varphi _n (\lambda )}(\cos x)
Marcellán, Francisco +5 more
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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
europepmc +1 more source
Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space [PDF]
, 2009 2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR.
Klotz, Lutz, Zagorodnyuk, Sergey M.
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The first Zolotarev case in the Erdös-Szegö solution to a Markov-type extremal problem of Schur [PDF]
, 2017 Schur’s [14] Markov-type extremal problem asks to find the maximum (1) (2) (1) sup sup |Pn (ξ)|, where Bn,ξ,2 = {Pn ∈ Bn : Pn (ξ) = 0} ⊂ Bn =−1≤ξ≤1 Pn ∈Bn,ξ,2 {Pn : |Pn(x)| ≤ 1 for |x| ≤ 1} and Pn is an algebraic polynomial of degree ≤ n.
RACK, Heinz-Joachim
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Face-mask-aware Facial Expression Recognition based on Face Parsing and Vision Transformer. [PDF]
Pattern Recognit Lett, 2022 Yang B +6 more
europepmc +1 more source
On approximation in generalized Zygmund class
Demonstratio Mathematica, 2019 Here, we estimate the degree of approximation of a conjugate function g˜{\tilde g} and a derived conjugate function g˜′{\tilde g'} , of a 2π-periodic function g∈Zrλg \in Z_r^\lambda , r ≥ 1, using Hausdorff means of CFS (conjugate Fourier series) and
Nigam Hare Krishna
doaj +1 more source
Computational aspects of multivariate Polynomial Interpolation [PDF]
, 1995 The paper is concerned with the practical implementation of two methods to compute the solution of polynomial interpolation problems. In addition to a description of the implementation, practical results and several improvements will be discussed ...
Thomas Sauer
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A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]
, 2008 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Tourís, Eva +2 more
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