Results 11 to 20 of about 7,816 (264)
Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2021 We present an estimate of the degree of best multi approximation of unbounded function on 〖[-1,1]〗^d by algebraic polynomials in weighted space. The studied of the relation between the best approximation of derivatives functions in weighted space and the
Omar Khashan +2 more
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Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present paper we introduce positive linear three-dimensionalBernstein-Chlodowsky polynomials on a non-tetrahedron domain and we get theirq-analogue.
Merve Çetinkaya, Nazmiye Gönül Bilgin
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
Al-Mustansiriyah Journal of Science, 2021 In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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Uniform Convergence of Some Extremal Polynomials in Domain with Corners on the Boundary
Journal of Inequalities and Applications, 2010 The aim of this paper is to investigate approximation properties of some extremal polynomials in Ap1, p>0 space. We are interested in finding approximation rate of extremal polynomials to Riemann function in Ap1 and C-norms on domains bounded by ...
M. Kucukaslan +2 more
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Approximate zolotarev polynomials
Computers & Mathematics with Applications, 1986 The authors introduce modified Zolotarev polynomials as follows. For \(a\in R\), (1) \(Z_ a:=Z_{a,m+2}:=aT_{m+2}+T_{m+1}+q^*,\) where \(q^*\in P_ m\) is the (uniquely determined) algebraic polynomial of degree \(\leq m\) which minimizes \(\| Z_{a,m+2}\|_{\infty}=\max_{-1\leq x\leq 1}| Z_{a,m+2}(x)|;\) and \(T_ p\) is a Chebyshev polynomial of first ...
Haussmann, W., Zeller, K.
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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 ...
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Approximation by double Walsh polynomials
International Journal of Mathematics and Mathematical Sciences, 1992 We study the rate of approximation by rectangular partial sums, Cesàro means, and de la Vallée Poussin means of double Walsh-Fourier series of a function in a homogeneous Banach space X.
Ferenc Móricz
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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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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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