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Some New Results on Bicomplex Bernstein Polynomials
Mathematics, 2021 The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore,
Carlo Cattani +3 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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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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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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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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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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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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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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