Results 51 to 60 of about 954 (69)
Symmetrized Chebyshev Polynomials [PDF]
arXiv, 2003 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative.
arxiv
The Crucial Constants in the Exponential-type Error Estimates for Multiquadric Interpolations [PDF]
arXiv, 2006 It's well known that in the high-level error bound for multiquadric interpolation there is a crucial constant lambda lying between 0 and 1 which connot be calculated or even approximated. The purpose of this paper is to answer this question.
arxiv
Fourier series and approximation on hexagonal and triangular domains [PDF]
arXiv, 2008 Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Ces\`aro summability of Fourier series, degree of approximation and best approximation by trigonometric functions, both direct and inverse theorems.
arxiv
Approximate Hermite quasi-interpolation [PDF]
arXiv, 2008 In this paper we derive approximate quasi-interpolants when the values of a function $u$ and of some of its derivatives are prescribed at the points of a uniform grid. As a byproduct of these formulas we obtain very simple approximants which provide high order approximations for solutions to elliptic differential equations with constant coefficients.
arxiv
Geometric Weakly Admissible Meshes, Discrete Least Squares Approximations and Approximate Fekete Points [PDF]
arXiv, 2009 Using the concept of Geometric Weakly Admissible Meshes together with an algorithm based on the classical QR factorization of matrices, we compute efficient points for discrete multivariate least squares approximation and Lagrange interpolation.
arxiv
Ostrowski type inequalities for sets and functions of bounded variation. [PDF]
J Inequal Appl, 2017 Kovalenko OV.
europepmc +1 more source
Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
Open Mathematics, 2008 Wafi Abdul, Khatoon Salma
doaj +1 more source
Korovkin-type convergence results for non-positive operators
Open Mathematics, 2010 Nowak Oliver
doaj +1 more source
Harmonic interpolation based on Radon projections along the sides of regular polygons
Open Mathematics, 2013 Georgieva Irina +4 more
doaj +1 more source