Results 21 to 30 of about 192,799 (329)
Uniform approximation by incomplete polynomials
International Journal of Mathematics and Mathematical Sciences, 1978 For any θ with ...
E. B. Saff, R. S. Varga
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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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Bounded approximation by polynomials [PDF]
Bulletin of the American Mathematical Society, 1963 Abstract : This paper presents a complete solution to the following problem: if G is an arbitrary bounded open set in the complex plane, characterize those functions in G that can be obtained as the bounded pointwise limits of polynomials in G. Roughly speaking, the answer is that a function is such a limit if and only if it has a bounded analytic ...
Rubel, L. A., Shields, A. L.
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Approximating Multilinear Monomial Coefficients and Maximum Multilinear Monomials in Multivariate Polynomials [PDF]
, 2010 This paper is our third step towards developing a theory of testing monomials in multivariate polynomials and concentrates on two problems: (1) How to compute the coefficients of multilinear monomials; and (2) how to find a maximum multilinear monomial ...
A. Shamir +17 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 gradients with continuous piecewise polynomial functions [PDF]
, 2014 Motivated by conforming finite element methods for elliptic problems of second order, we analyze the approximation of the gradient of a target function by continuous piecewise polynomial functions over a simplicial mesh.
Veeser, Andreas
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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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Strong approximation and descent [PDF]
, 2014 We introduce descent methods to the study of strong approximation on algebraic varieties. We apply them to two classes of varieties defined by P(t)=N_{K/k}(z): firstly for quartic extensions of number fields K/k and quadratic polynomials P(t) in one ...
Derenthal, Ulrich, Wei, Dasheng
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