A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface
Journal of Mathematics, 2022 A computational model is presented to find the q-Bernstein quasi-minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the ...
Daud Ahmad +5 more
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SMIRNOV’S INEQUALITY FOR POLYNOMIALS HAVING ZEROS OUTSIDE THE UNIT DISC
Проблемы анализа, 2021 In 1887, the famous chemist D. I. Mendeleev posed the following problem: to estimate |𝑓 ′(𝑥)| for a real polynomial 𝑓 (𝑥), satisfying the condition |𝑓 (𝑥)| ≤ 𝑀 on [𝑎, 𝑏]. This question arose when Mendeleev was studying aqueous solutions.
E. G. Kompaneet, V. V. Starkov
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Direct Algorithm for Bernstein Enclosure Boundary of Polynomials
Journal of Mathematics, 2022 Multivariate polynomials of finite degree can be expanded into Bernstein form over a given simplex domain. The minimum and maximum Bernstein control points optimize the polynomial curve over the same domain.
Tareq Hamadneh +3 more
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Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]
ITM Web of Conferences, 2019 We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara +2 more
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On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles
MANAS: Journal of Engineering, 2021 In this work we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with interior zero and exterior non zero angles.
Cevahir Doğanay Gün
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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REFINEMENT OF SOME BERNSTEIN TYPE INEQUALITIES FOR RATIONAL FUNCTIONS
Проблемы анализа, 2022 In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
Idrees Qasim
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Microbial fuel cells are one of the most important issues in today's science. The studies in the literature on the subject are very limited. Nowadays, research on renewable energy sources brings scientists to the point of obtaining renewable energy ...
Mehmet Gürcan +2 more
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An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 In this paper we present a new method for solving fractional optimal control problems with delays in state and control. This method is based upon Bernstein polynomial basis and using feedback control.
Elahe Safaie, Mohammadhadi Farahi
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An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
Mathematics, 2021 In this paper, we introduce two new methods to solve systems of ordinary differential equations. The first method is constituted of the generalized Bernstein functions, which are obtained by Bernstein polynomials, and operational matrix of ...
Ahmad Sami Bataineh +3 more
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