Results 31 to 40 of about 189,197 (211)
Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk
Journal of Inequalities and Applications, 2007 Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk D.
Szilárd Gy. Révész
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Linear Optimization of Polynomial Rational Functions: Applications for Positivity Analysis
Mathematics, 2020 In this paper, we provide tight linear lower bounding functions for multivariate polynomials given over boxes. These functions are obtained by the expansion of polynomials into Bernstein basis and using the linear least squares function.
Tareq Hamadneh +2 more
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Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
IEEE Access, 2023 This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of differentiation of Bernstein polynomials, is employed to ...
Shahad Adil Taher Algazaa +1 more
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Mapana Journal of Sciences, 2021 Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys, B-splines or Basis spline functions, Bezier curves and ODE solution curves, is computationally ...
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Approximation properties of bivariate complex $q$-Bernstein polynomials in the case $q>1$ [PDF]
, 2012 summary:In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate $q$-Bernstein polynomials for a function analytic in the polydisc $D_{R_{1}}\times D_{R_{2}}=\{z\in C\colon \vert z\vert 1$.
Mahmudov, Nazim I.
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On the F-Bernstein Polynomials
Ukrainian Mathematical JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdem, Alper +2 more
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A Generalization of the Bernstein Polynomials
Journal of Mathematical Analysis and Applications, 1997 The author generalizes the Bernstein polynomials by taking averages of point evaluations of the function \(f\) instead of the usual values \(f(i/n)\). The number of point evaluations \(s_n\) taken for the \(n\)th polynomial, may grow to \(\infty\) as \(n\to\infty\), but it is necessary and sufficient for insuring approximation of continuous functions ...
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Correction to: On Bernstein’s inequality for polynomials [PDF]
Analysis and Mathematical Physics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Queffélec, H., Zarouf, R.
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Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
Advanced Science, EarlyView.This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
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Bernstein operator of rough I-core of triple sequences
ITM Web of Conferences, 2018 We introduce and study some basic properties of Bernstein-Stancu polynomials of rough I-convergent of triple sequence spaces and also study the set of all Bernstein-Stancu polynomials of rough I-limits of a triple sequence spaces and relation between ...
Ozdemir M. Kemal, Esi Ayhan, Esi Ayten
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