Showing 161 - 180 results of 185 for search '"Bernstein polynomial"', query time: 0.11s Refine Results
  1. 161

    Quantum (q, h)-Bézier surfaces based on bivariate (q, h)-blossoming by Jegdić Ilija, Simeonov Plamen, Zafiris Vasilis

    Published 2019-10-01
    “…We introduce the (q, h)-blossom of bivariate polynomials, and we define the bivariate (q, h)-Bernstein polynomials and (q, h)-Bézier surfaces on rectangular domains using the tensor product. …”
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    Article
  2. 162

    Bernstein collocation method for neutral type functional differential equation by Ishtiaq Ali

    Published 2021-04-01
    “…In this paper, we used a spectral collocation method which is based on Bernstein polynomials to find the approximate solution. The disadvantage of using Bernstein polynomials is that they are not orthogonal and therefore one cannot use the properties of orthogonal polynomials for the efficient evaluation of differential equations. …”
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    Article
  3. 163

    Some properties and inequalities related to the kth inverse moment of a positive binomial variate by Rodrigo Arias López, José Garrido

    Published 2009-02-01
    “…Keywords:     Probability, statistics, life contingencies, Bernstein polynomials.…”
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    Article
  4. 164

    Approximation of Second-Order Moment Processes from Local Averages by Song Zhanjie, Wang Ping, Xie Weisong

    Published 2009-01-01
    “…We also provide some insight and generalization of the connection between Bernstein polynomials and Brownian motion, which was investigated by Kowalski in 2006.…”
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    Article
  5. 165

    Alternative methods for solving nonlinear two-point boundary value problems by Ghomanjani Fateme, Shateyi Stanford

    Published 2018-06-01
    “…In this sequel, the numerical solution of nonlinear two-point boundary value problems (NTBVPs) for ordinary differential equations (ODEs) is found by Bezier curve method (BCM) and orthonormal Bernstein polynomials (OBPs). OBPs will be constructed by Gram-Schmidt technique. …”
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    Article
  6. 166

    Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators by Faruk Özger, Ekrem Aljimi, Merve Temizer Ersoy

    Published 2022-06-01
    “…An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. …”
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    Article
  7. 167

    New results on the q-generalized Bernoulli polynomials of level m by Urieles Alejandro, Ortega María José, Ramírez William, Vega Samuel

    Published 2019-12-01
    “…This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well as the q-gamma function, and the q-Stirling numbers of the second kind and the q-Bernstein polynomials.…”
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    Article
  8. 168

    Fractional Bernstein operational matrices for solving integro-differential equations involved by Caputo fractional derivative by M.H.T. Alshbool, Mutaz Mohammad, Osman Isik, Ishak Hashim

    Published 2022-05-01
    “…The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equations (FIDEs). …”
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    Article
  9. 169

    Bernstein-type approximations of smooth functions by Andrea Pallini

    Published 2007-10-01
    “…The Bernstein-type approximations generalize the corresponding Bernstein polynomials, by considering definitions that depend on a convenient approximation coefficient in linear kernels. …”
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    Article
  10. 170

    Convolution Operators With Spline Kernels by Osman, Rohaizan

    Published 1994
    “…These formulas are analogous to the Bernstein's extension of Voronovskaya's estimate for Bernsteins polynomials and Marsden and Riemenschneider's extension of Bernstein-Schoenberg operators for higher order derivatives.…”
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    Thesis
  11. 171

    Statistical Riemann and Lebesgue Integrable Sequence of Functions with Korovkin-Type Approximation Theorems by Hari Mohan Srivastava, Bidu Bhusan Jena, Susanta Kumar Paikray

    Published 2021-09-01
    “…Finally, we present two illustrative examples under the consideration of positive linear operators in association with the Bernstein polynomials to exhibit the effectiveness of our findings.…”
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    Article
  12. 172

    A simplified method to approximate a ROC curve with a Bézier curve to calculate likelihood ratios of quantitative test results by Walter Fierz

    Published 2020-01-01
    “….• Here, we make use of cubic Bézier curves defined by Bernstein polynomials of degree 3.• A simplified method to adjust a Bézier curve to a ROC curve is presented• The crucial advantage of this procedure is that Bézier curves are constructed by tangents to the ROC curve, whose slopes immediately provide the LR of a specific point on the curve.…”
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    Article
  13. 173

    A numerical comparative analysis of methods for solving fractional differential equations by Syeda Tehmina Ejaz, Namra Zulqarnain, Jihad Younis, Saima Bibi

    Published 2024-12-01
    “…AbstractIn this paper, we present two collocation methods utilizing subdivision schemes and Bernstein polynomials as their basis functions to solve Caputo-type fractional differential equations. …”
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    Article
  14. 174

    Computation of numerical solutions to variable order fractional differential equations by using non-orthogonal basis by Samia Bushnaq, Kamal Shah, Sana Tahir, Khursheed J. Ansari, Muhammad Sarwar, Thabet Abdeljawad

    Published 2022-04-01
    “…For the said numerical analysis, we use Bernstein polynomials (BPs) with non-orthogonal basis. The method we use does not need discretization and neither collocation. …”
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    Article
  15. 175

    Asymptotic Frame Fields of Rational Bézier Curves by Ayşe Yılmaz Ceylan, Tunahan Turhan, Gözde Özkan Tükel

    Published 2021-12-01
    “…The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which facilitate theoretical developments. …”
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    Article
  16. 176

    Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems by Humaira Farzana, Samir Kumar Bhowmik, Md. Shafiqul Islam

    Published 2023-01-01
    “…. • This method involves computing numerical eigenvalues using Bernstein polynomials as the basis functions. • The novel weighted residual Galerkin technique's performance is numerically validated by comparing it to other numerical/analytical approaches in the literature.…”
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    Article
  17. 177

    A new closed form method for design of variable bandwidth linearphase FIR filter using different polynomials by Kumar, A., Suman, S., Singh, G.K.

    Published 2014
    “…In this paper, a new method for the design of variable bandwidth linear-phase finite impulse response(FIR) filters using different polynomials such as shifted Chebyshev polynomials, Bernstein polynomi-als and shifted Legendre polynomials is proposed. …”
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    Article
  18. 178

    Nonparametric Estimation of Multivariate Copula Using Empirical Bayes Methods by Lu Lu, Sujit Ghosh

    Published 2023-10-01
    “…The proposed empirical checkerboard copula within a hierarchical empirical Bayes model alleviates the aforementioned issues and provides a smooth estimator based on multivariate Bernstein polynomials that itself is shown to be a genuine copula. …”
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    Article
  19. 179

    On Degenerate Truncated Special Polynomials by Ugur Duran, Mehmet Acikgoz

    Published 2020-01-01
    “…In addition, regarding applications, by introducing the degenerate truncated forms of the classical Bernstein polynomials, we obtain diverse correlations and formulas. …”
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    Article
  20. 180

    Bernstein spectral method for quasinormal modes and other eigenvalue problems by Sean Fortuna, Ian Vega

    Published 2023-12-01
    “…In this work we highlight the usefulness of a relatively unknown set of non-orthogonal basis functions, known as Bernstein polynomials, and their advantages for handling boundary conditions in ordinary differential eigenvalue problems. …”
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    Article