Results 31 to 40 of about 194,210 (329)
Convergence of approximating polynomials [PDF]
Proceedings of the 1961 16th ACM national meeting on -, 1961 I. The problem we wish to consider is the following. For each positive integer n, let En be a finite subset of [−1,1] containing at least n points. N For a real valued continuous function f defined on [−1,1] let pn (f, En) be the unique polynomial of degree at most n−1 of best approximation in the Chebycheff sense to f on En. Is it possible to choose a
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Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir +3 more
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Minimax polynomial approximation [PDF]
Mathematics of Computation, 1966 Some new methods for obtaining the minimax polynomial approximation of degree n n to a continuous function are introduced, and applied to several simple functions. The amount of computation required is substantially reduced compared with that of previous methods.
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On a polynomial approximation problem
Journal of Approximation Theory, 2010 AbstractLet F be a closed subset of the unit circle T and let f∈C(F). We investigate the problem of uniform approximation of f on F by polynomials Pn which are uniformly bounded on the unit disk Δ. In a particular case when F is a closed arc of T, the problem was solved by L. Zalcman in 1982, who has also pointed out the possibility of considering more
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA ( host institution ) +1 more
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Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type
Journal of Inequalities and Applications, 2017 The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth +2 more
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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Approximating a Norm by a Polynomial [PDF]
, 2003 We prove that for any norm |*| in the d-dimensional real vector space V and for any odd n>0 there is a non-negative polynomial p(x), x in V of degree 2n such that p^{1/2n}(x) < |x| < c(n,d) p^{1/2n}(x), where c(n,d)={n+d-1 choose n}^{1/2n}. Corollaries and polynomial approximations of the Minkowski functional of a convex body are discussed.
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A renormalisation group method. II. Approximation by local polynomials [PDF]
, 2014 This paper is the second in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both.
Brydges, David C., Slade, Gordon
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Weighted Approximation for Jackson-Matsuoka Polynomials on the Sphere
Abstract and Applied Analysis, 2012 We consider the best approximation by Jackson-Matsuoka polynomials in the weighted Lp space on the unit sphere of Rd. Using the relation between K-functionals and modulus of smoothness on the sphere, we obtain the direct and inverse estimate of ...
Guo Feng
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Approximation by polynomials on quaternionic compact sets
, 2014 In this paper we obtain several extensions to the quaternionic setting of some results concerning the approximation by polynomials of functions continuous on a compact set and holomorphic in its interior.
Gal, Sorin G., Sabadini, Irene
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