Results 11 to 20 of about 189,197 (211)
Division algorithms for Bernstein polynomials [PDF]
Computer Aided Geometric Design, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Busé, Laurent, Goldman, Ron
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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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Some Identities on Bernstein Polynomials Associated with 𝑞-Euler Polynomials [PDF]
Abstract and Applied Analysis, 2011 We investigate some interesting properties of the 𝑞-Euler polynomials. The purpose of this paper is to give some relationships between Bernstein and 𝑞-Euler polynomials, which are derived by the 𝑝-adic integral representation of the Bernstein polynomials
A. Bayad, T. Kim, B. Lee, S.-H. Rim
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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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Probabilistic degenerate Bernstein polynomials
Applied Mathematics in Science and EngineeringIn recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang +3 more
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A Note on the Modified q-Bernstein Polynomials [PDF]
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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Structured matrix methods for computations on Bernstein basis polynomials [PDF]
, 2013 This thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it
Yang, Ning
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On Multivariate Bernstein Polynomials
Mathematics, 2020 In this paper, we first revisit and bring together as a sort of survey, properties of Bernstein polynomials of one variable. Secondly, we extend the results from one variable to several ones, namely—uniform convergence, uniform convergence of the ...
Mama Foupouagnigni +1 more
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Ain Shams Engineering Journal, 2021 The regularized and the modified regularized long wave (RLW and MRLW) equations are solved numerically by the Bernstein polynomials in both the space and time directions based on Kronecker product.
D.A. Hammad
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Jacobi Polynomials on the Bernstein Ellipse [PDF]
Journal of Scientific Computing, 2017 In this paper, we are concerned with Jacobi polynomials $P_n^{(α,β)}(x)$ on the Bernstein ellipse with motivation mainly coming from recent studies of convergence rate of spectral interpolation. An explicit representation of $P_n^{(α,β)}(x)$ is derived in the variable of parametrization. This formula further allows us to show that the maximum value of $
Haiyong Wang, Lun Zhang
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