Results 101 to 110 of about 3,011 (212)

Iterates of Bernstein polynomials [PDF]

Pacific Journal of Mathematics, 1967
Kelisky, R. P., Rivlin, T. J.
openaire   +3 more sources

Derivatives of Bernstein Polynomials and Smoothness [PDF]

Proceedings of the American Mathematical Society, 1985
Equivalence relations between the asymptotic behaviour of derivatives of Bernstein polynomials and the smoothness of the function they approximate are given. This is achieved with an a priori condition that the function is of class
openaire   +2 more sources

Modified Bernstein Polynomials and Jacobi Polynomials in q-Calculus

, 2005
International audienceWe introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the $q$-Bernstein basis proposed by G.M. Phillips to generalize classical Bernstein Polynomials.
Derriennic, Marie-Madeleine
core  

Approximation theory for weighted Sobolev spaces on curves [PDF]

, 2001
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo, Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M., Álvarez González, Venancio, Rodríguez García, José Manuel   +6 more
core  

Approximation with Bernstein-Szegö polynomials.

, 2006
We present approximation kernels for orthogonal expansions with respect to Bernstein–Szegö polynomials. Theconstruction is derived from known results for Chebyshev polynomials of the first kind and does not pose any restrictions on the ...
Lasser, R., Hösel, V.
core   +1 more source

Bernstein computational algorithm for integro-differential equations

Partial Differential Equations in Applied Mathematics
In this study, we introduce a computational algorithm for solving Integro-Differential Equations (IDEs) using Bernstein polynomials as basis functions.
Taiye Oyedepo, Ganiyu Ajileye, Abayomi Ayotunde Ayoade   +2 more
doaj   +1 more source

Some Identities on the Twisted (ℎ,𝑞)-Genocchi Numbers and Polynomials Associated with 𝑞-Bernstein Polynomials

International Journal of Mathematics and Mathematical Sciences, 2011
We give some interesting identities on the twisted (ℎ,𝑞)-Genocchi numbers and polynomials associated with 𝑞-Bernstein polynomials.
Seog-Hoon Rim, Sun-Jung Lee
doaj   +1 more source

Generalized Bernstein polynomials and total positivity

, 2017
"This thesis submitted for Ph.D. degree deals mainly with geometric properties of generalized Bernstein polynomials which replace the single Bernstein polynomial by a one-parameter family of polynomials.
Oruç, Halil
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n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]

, 2010
We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
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A Study on the -Adic Integral Representation on Associated with Bernstein and Bernoulli Polynomials

Advances in Difference Equations, 2010
We consider the Bernstein polynomials on and investigate some interesting properties of Bernstein polynomials related to Stirling numbers and Bernoulli numbers.
Kim Won-Joo, Simsek Yilmaz, Jang Lee-Chae   +2 more
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