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Best multi Approximation of Unbounded Functions by Using Modulus of Smoothness [PDF]

open access: yesمجلة 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
doaj   +1 more source

Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

open access: yesMathematics, 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
doaj   +1 more source

Uniform approximation by (quantum) polynomials [PDF]

open access: yesQuantum Information and Computation, 2011
We show that quantum algorithms can be used to re-prove a classical theorem in approximation theory, Jackson's Theorem, which gives a nearly-optimal quantitative version of Weierstrass's Theorem on uniform approximation of continuous functions by polynomials. We provide two proofs, based respectively on quantum counting and on quantum phase estimation.
Drucker, A., de Wolf, R.
openaire   +4 more sources

Approximation By Three-Dimensional q-Bernstein-Chlodowsky Polynomials

open access: yesSakarya 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
doaj   +1 more source

Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)

open access: yesAl-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
doaj   +1 more source

Uniform Convergence of Some Extremal Polynomials in Domain with Corners on the Boundary

open access: yesJournal 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
doaj   +2 more sources

A renormalisation group method. II. Approximation by local polynomials [PDF]

open access: yes, 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
core   +1 more source

Monotone Approximation by Algebraic Polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
A given real continuous function f on [a, b] is approximated by polynomials P n {P_n} of degree n that are subject to certain restrictions. Let 1 ≦ k 1 > ⋯ > k p
Lorentz, G. G., Zeller, K. L.
openaire   +2 more sources

Approximation by double Walsh polynomials

open access: yesInternational 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
doaj   +1 more source

Approximation by polynomials

open access: yesDuke Mathematical Journal, 1943
Not ...
Clarkson, J. A., Erdös, P.
openaire   +3 more sources

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