Results 21 to 30 of about 601,209 (237)
Some New Results on Bicomplex Bernstein Polynomials
Mathematics, 2021 The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore,
Carlo Cattani +3 more
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A numerical approach for solving variable order differential equations using Bernstein polynomials
Alexandria Engineering Journal, 2020 In this study, a numerical technique is applied to investigate solutions of linear variable order differential equations(VODEs) in fluid mechanics. We investigate variable order(VO) in the Caputo sense.
N. Kadkhoda
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Recursive density estimators based on Robbins–Monro’s scheme and using Bernstein polynomials [PDF]
Statistics and its Interface, 2019 In this paper, we consider the alleviation of the boundary problem when the probability density function has bounded support. We apply Robbins-Monro's algorithm and Bernstein polynomials to construct a recursive density estimator. We study the asymptotic
Y. Slaoui, A. Jmaei
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A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]
, 2012 The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim +25 more
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q-generalized Bernstein-Durrmeyer polynomials [PDF]
Journal of Mathematical Inequalities, 2020 A Durrmeyer analogue of the generalized Bernstein polynomials given in [\textit{X. Chen} et al., J. Math. Anal. Appl. 450, No. 1, 244--261 (2017; Zbl 1357.41015)] is introduced, and the rate of convergence by means of the modulus of continuity and second order modulus of smoothness is studied.
Agrawal, P. N., Acu, A. M., Ruchi, R.
openaire +1 more source
Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]
Engineering and Technology Journal, 2011 In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
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Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
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Bernstein-Szego Polynomials Associated with Root Systems [PDF]
, 2007 We introduce multivariate generalizations of the Bernstein-Szego polynomials, which are associated to the root systems of the complex simple Lie algebras.
de la Maza, A. C. +2 more
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A Note on the Modified q-Bernstein Polynomials
Discrete Dynamics in Nature and Society, 2010 We propose the modified q-Bernstein polynomials of degree n which are different q-Bernstein polynomials of Phillips (1997). From these modified q-Bernstein polynomials of degree n, we derive some recurrence formulae for the modified q-Bernstein ...
Taekyun Kim, Lee-Chae Jang, Heungsu Yi
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A note on degenerate Bernstein polynomials
Journal of Inequalities and Applications, 2019 Recently, degenerate Bernstein polynomials have been introduced by Kim and Kim. In this paper, we investigate some properties and identities for the degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate ...
Taekyun Kim +3 more
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