Results 241 to 250 of about 236,948 (272)

Upper Bounds for Bernstein Basis Functions

2012
From Markov’s bounds for binomial coefficients (for which a short proof is given) upper bounds are derived for Bernstein basis functions of approximation operators and their maximum. Some related inequalities used in approximation theory and those for concentration functions are discussed.
Vijay Gupta, Tengiz Shervashidze
openaire   +1 more source

Bernstein-Durrmeyer type operators preserving linear functions

2010
Many well-known approximating operators preserve linear functions. However, the operators introduced by the first author [Soochow J. Math. 23, No. 1, 115--118 (1997; Zbl 0869.41016)], as well as by the first author and \textit{P. Maheshwari} [Riv. Mat. Univ. Parma (7) 2, 9--21 (2003; Zbl 1050.41015)] do not preserve the test function \(e_1\).
Gupta, V., Duman, O.
openaire   +2 more sources

The Bernstein Polynomials for Discontinuous Functions

American Journal of Mathematics, 1946
Herzog, Fritz, Hill, J. D.
openaire   +2 more sources

Multivariate Bernstein $$\alpha $$-Fractal Functions

2023
D. Kumar, A. K. B. Chand, P. R. Massopust   +2 more
openaire   +1 more source

Approximation of functions by Stancu variant of Bernstein–Kantorovich operators based on shape parameter $${\varvec{\alpha }}$$

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
Syed Abdul Mohiuddine, Faruk Ozger
exaly  

Approximation of functions by a new family of generalized Bernstein operators

Journal of Mathematical Analysis and Applications, 2017
Jieqing Tan, Zhi Liu, Jin Xie
exaly  

Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers

Mathematical Methods in the Applied Sciences, 2015
Yılmaz Şimşek
exaly  

3 Bernstein functions

2009
openaire   +1 more source

Generating Functions for the $q$-Bernstein Bases

SIAM Journal on Discrete Mathematics, 2014
Ron Goldman, Yılmaz Şimşek
exaly  

q‐Bernstein polynomials related to q‐Frobenius–Euler polynomials, l‐functions, and q‐Stirling numbers

Mathematical Methods in the Applied Sciences, 2012
Yılmaz Şimşek, Abdelmejid BAYAD, V Lokesha   +2 more
exaly