Results 11 to 20 of about 3,011 (212)
Numerical Solutions of the Nonlinear Fractional-Order Brusselator System by Bernstein Polynomials [PDF]
The Scientific World Journal, 2014 In this paper we propose the Bernstein polynomials to achieve the numerical solutions of nonlinear fractional-order chaotic system known by fractional-order Brusselator system.
Hasib Khan +4 more
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Abstract and Applied Analysis, 2011 Recently mathematicians have studied some interesting relations between ๐-Genocchi numbers, ๐-Euler numbers, polynomials, Bernstein polynomials, and ๐-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
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Abstract and Applied Analysis, 2010 Recently, Kim (2011) introduced ๐-Bernstein polynomials which are different ๐-Bernstein polynomials of Phillips (1997). In this paper, we give a ๐-adic ๐-integral representation for ๐-Bernstein type polynomials and investigate some interesting ...
T. Kim, J. Choi, Y. H. Kim
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On ๐-Adic Analogue of ๐-Bernstein Polynomials and Related Integrals [PDF]
Discrete Dynamics in Nature and Society, 2010 Recently, Kim's work (in press) introduced ๐-Bernstein polynomials which are different Phillips' ๐-Bernstein polynomials introduced in the work by (Phillips, 1996; 1997).
T. Kim, J. Choi, Y. H. Kim, L. C. Jang
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On Two-Dimensional Bernstein Polynomials [PDF]
Canadian Journal of Mathematics, 1953 Let the function of two real variablesf(x, y) be given over the ...
Mahmudov, Nazim I.
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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, namelyโuniform convergence, uniform convergence of the ...
Mama Foupouagnigni +1 more
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Transfinite Elements Using Bernstein Polynomials
AxiomsTransfinite interpolation, originally proposed in the early 1970s as a global interpolation method, was first implemented using Lagrange polynomials and cubic Hermite splines.
Christopher Provatidis
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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On Bernsteinโs inequality for polynomials [PDF]
Analysis and Mathematical Physics, 2019 Bernstein's classical inequality asserts that given a trigonometric polynomial $T$ of degree $n\geq1$, the sup-norm of the derivative of $T$ does not exceed $n$ times the sup-norm of $T$. We present various approaches to prove this inequality and some of its natural extensions/variants, especially when it comes to replacing the sup-norm with the $L^p ...
Queffรฉlec, Hervรฉ, Zarouf, Rachid
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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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