Results 31 to 40 of about 35,558 (166)
Probabilistic degenerate Bernstein polynomials
Applied Mathematics in Science and EngineeringIn 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 +3 more
doaj +1 more source
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
doaj +1 more source
A new family of q-Bernstein polynomials: probabilistic viewpoint
Arab Journal of Basic and Applied SciencesIn 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 +2 more
doaj +1 more source
On wavelet type Bernstein operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper deals with construction and studying wavelet type Bernstein operators by using the compactly supported Daubechies wavelets of the given function $f$.
H. Karsli
doaj +1 more source
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
doaj +1 more source
ON THE GENERATING FUNCTION FOR BERNSTEIN POLYNOMIALS OF TRIPLE SEQUENCES
Journal of Science and Arts, 2021 The aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.
Indumathi, Arulmani +2 more
openaire +2 more sources
Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
Journal of Inequalities and Applications, 2016 This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
doaj +1 more source
On the -Bernstein Polynomials of Unbounded Functions with [PDF]
Abstract and Applied Analysis, 2013 The aim of this paper is to present new results related to the -Bernstein polynomials of unbounded functions in the case and to illustrate those results using numerical examples. As a model, the behavior of polynomials is examined both theoretically and numerically in detail for functions on satisfying as , where and are real numbers.
Sofiya Ostrovska, Ahmet Yaşar Özban
openaire +2 more sources
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
doaj +2 more sources
Bernstein's Polynomial Inequalities and Functional Analysis
Irish Mathematical Society Bulletin, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources