Results 41 to 50 of about 1,343 (179)
Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials [PDF]
Engineering and Technology Journal, 2012 In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense. Examples are considered to verify the effectiveness
Osama H. Mohammed, Sarmad A. Altaie
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Convergence of Generalized Bernstein Polynomials
Journal of Approximation Theory, 2002 Let \(f\in C[0,1]\), \(q\in (0,1)\) and \(B_n(f,q;x)\) be generalized Bernstein polynomials based on \(q\)-integers. These polynomials were introduced by G. M. Phillips in 1997. The authors study convergence properties of the sequence \(\{B_n(f,q;x)\}^\infty_{n=1}\).
Alexander Il'inskii, Sofiya Ostrovska
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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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Bernstein Operators for Exponential Polynomials [PDF]
Constructive Approximation, 2008 Let $L$ be a linear differential operator with constant coefficients of order $n$ and complex eigenvalues $λ_{0},...,λ_{n}$. Assume that the set $U_{n}$ of all solutions of the equation $Lf=0$ is closed under complex conjugation. If the length of the interval $[ a,b] $ is smaller than $π/M_{n}$, where $M_{n}:=\max \left\{| \text{Im}% λ_{j}| :j=0,...,n ...
Aldaz, J. M. +2 more
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Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
Advanced Science, EarlyView.This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\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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Two Photon Processes in an Atom Confined in Gaussian Potential
Atoms, 2016 Transitions of an atom under the effect of a Gaussian potential and loose spherical confinement are studied. An accurate Bernstein-polynomial (B-polynomial) method has been applied for the calculation of the energy levels and radial matrix elements.
Sonia Lumb, Shalini Lumb, Vinod Prasad
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Growth of Omnichannel Grocery Retailing and Food Prices
Agribusiness, EarlyView.ABSTRACT This paper examines the effects of the growth of omnichannel grocery retailing on food prices. We first develop a conceptual model of consumer choice and retailer pricing that allows us to evaluate changes in equilibrium prices, quantities, and profits with online channel growth and alternative pricing strategies.
Xiangwen Kong +2 more
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Weighted inequalities for generalized polynomials with doubling weights
Journal of Inequalities and Applications, 2017 Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
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Bernstein Polynomials Method For Solving Linear Volterra Integral Equation of The Second Kind [PDF]
Engineering and Technology Journal, 2010 In this paper, Bernstein polynomials method are used to find anapproximate solution for linear Volterra integral equation of the second kind.These polynomials are incredibly useful mathematical tools, because they aresimply defined.
Haleema S. Ali
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Coupling Fluid Neutrals to Gyrokinetic Plasma Dynamics for Edge and SOL Turbulence Simulations
Contributions to Plasma Physics, EarlyView.ABSTRACT Accurate modeling of turbulent transport in magnetic confinement fusion devices requires extending first‐principles gyrokinetic simulations from the core to the edge and scrape‐off layer (SOL), where additional physics—particularly plasma–neutrals interactions—must be included.
Sabine Ogier‐Collin +3 more
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