Results 21 to 30 of about 186,989 (178)

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

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, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
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Uniform approximation by (quantum) polynomials [PDF]

Quantum 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.
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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, C. Koşar, F. G. Abdullayev   +2 more
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Monotone Approximation by Algebraic Polynomials [PDF]

Transactions 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.
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An optimal polynomial approximation of Brownian motion [PDF]

, 2020
In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by a class of orthogonal polynomials. The coefficients that are obtained from the expansion of Brownian motion in this polynomial basis are independent ...
Foster, James, Lyons, Terry, Oberhauser, Harald   +2 more
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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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Approximation by polynomials

Duke Mathematical Journal, 1943
Not ...
Clarkson, J. A., Erdös, P.
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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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