Results 31 to 40 of about 32,343 (193)

Analysis of Approximation by Linear Operators on Variable Lρp(·) Spaces and Applications in Learning Theory

Abstract and Applied Analysis, 2014
This paper is concerned with approximation on variable Lρp(·) spaces associated with a general exponent function p and a general bounded Borel measure ρ on an open subset Ω of Rd. We mainly consider approximation by Bernstein type linear operators. Under
Bing-Zheng Li, Ding-Xuan Zhou
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Probabilistic degenerate Bernstein polynomials

Applied Mathematics in Science and Engineering
In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
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A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
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Bernstein collocation method for neutral type functional differential equation

Mathematical Biosciences and Engineering, 2021
Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
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On the composite Bernstein type quadrature formula

Journal of Numerical Analysis and Approximation Theory, 2010
Considering a given function \(f\in C[0,1]\), the interval \([0,1]\) is divided in \(m\) equally spaced subintervals \(\left[\tfrac{k-1}{m},\tfrac{k}{m}\right]\), \(k=\overline{1,m}\).
Dan Bărbosu, Dan Miclăuş
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N.A. Bernstein, the founder of modern biomechanics [PDF]

Национальный психологический журнал, 2015
The paper deals with three major periods of scientific work of Nikolai Alexandrovich Bernstein, the outstanding Russian scientist, the founder the motor activity theory of human and animal. In 2016 is the 120th anniversary of Bernstein´s birth.
Vazha M. Devishvili
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Bernstein's Polynomial Inequalities and Functional Analysis

Irish Mathematical Society Bulletin, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bernstein polynomial and discontinuous functions

Journal of Mathematical Analysis and Applications, 2014
Abstract We obtain new estimates of the rate of convergence of Bernstein operators for discontinuous functions on [ 0 , 1 ] which can be used to derive known results for continuous functions and functions of bounded variation.
Jorge Bustamante, Miguel A. García-Muñoz, José M. Quesada   +2 more
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On the Derivatives of Bernstein Polynomials: An Application for the Solution of High Even-Order Differential Equations

Boundary Value Problems, 2011
A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coefficients of the general-order derivative of a
Bhrawy AH, Saker MA, Doha EH
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A de Casteljau Algorithm for 𝑞-Bernstein-Stancu Polynomials

Abstract and Applied Analysis, 2011
This paper is concerned with a generalization of the 𝑞-Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression.
Grzegorz Nowak
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