Results 1 to 10 of about 19,826 (163)
Higher Order Thorin–Bernstein Functions [PDF]
Results in Mathematics, 2023 AbstractWe investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
Henrik Laurberg Pedersen +1 more
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Bernstein-type approximations of smooth functions
Statistica, 2007 The Bernstein-type approximation for smooth functions is proposed and studied. We propose the Bernstein-type approximation with definitions that directly apply the binomial distribution and the multivariate binomial distribution.
Andrea Pallini
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Results in Physics, 2019 In this paper, an efficient numerical scheme is settled for solving two-dimensional Bratu–Gelfand problem, namely Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet (HOBW) is presented for boundary value problems administered by nonlinear ...
Mohamed R. Ali, Adel R. Hadhoud
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Bernstein polynomial and discontinuous functions
Journal of Mathematical Analysis and Applications, 2014 Abstract We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on [ 0 , 1 ] which can be used to derive known results for continuous functions and functions of bounded variation.
José M A Quesada, Jorge Bustamante
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A Family of Horn-Bernstein Functions [PDF]
Experimental Mathematics, 2021 14 pages references ...
Berg, Christian, Pedersen, Henrik L.
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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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On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
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Lupaş post quantum Bernstein operators over arbitrary compact intervals
Karpatsʹkì Matematičnì Publìkacìï, 2021 This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan +3 more
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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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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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