Results 11 to 20 of about 911 (185)
Degenerate Bernstein polynomials [PDF]
Revista de la Real Academia de Ciencias Exactas, FΓsicas y Naturales. Serie A. MatemΓ‘ticas, 2018 9
Kim, Taekyun, Kim, Dae San
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Mapana Journal of Sciences, 2021 Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys, B-splines or Basis spline functions, Bezier curves and ODE solution curves, is computationally ...
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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.
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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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A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
Abstract and Applied Analysis, 2010 The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
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Abstract and Applied Analysis, 2011 Recently mathematicians have studied some interesting relations between π-Genocchi numbers, π-Euler numbers, polynomials, Bernstein polynomials, and π-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
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Abstract and Applied Analysis, 2010 Recently, Kim (2011) introduced π-Bernstein polynomials which are different π-Bernstein polynomials of Phillips (1997). In this paper, we give a π-adic π-integral representation for π-Bernstein type polynomials and investigate some interesting ...
T. Kim, J. Choi, Y. H. Kim
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
Journal of Inequalities and Applications, 2019 In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim +3 more
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Generalized Bernstein-Chlodowsky Polynomials
Rocky Mountain Journal of Mathematics, 1998 For given positive integers \(n\) and \(m\), the generalization of Bernstein-Chlodowsky polynomials is defined by \[ B_{n,m}(f,x)= \Biggl( 1+(m-1) \frac{x}{b_n} \Biggr) \sum_{k=0}^{[n/m]} f\Biggl( \frac{b_nk} {n-(m-1)k}\Biggr) C_{n-(m-1)k}^k \Biggl( \frac{x}{b_n} \Biggr)^k \Biggl(1- \frac{x}{b_n} \Biggr)^{n-mk}, \] where \(b_n\) is a sequence of ...
Gadjiev, A.D. +2 more
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Sparse polynomial interpolation with Bernstein polynomials
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: We present an algorithm for interpolating an unknown univariate polynomial \(f\) that has a \(t\) sparse representation (\(t\ll\deg(f)\)) using Bernstein polynomials as term basis from \(2t\) evaluations. Our method is based on manipulating given black box polynomial for \(f\) so that we can make use of Prony's algorithm.
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