Results 31 to 40 of about 601,209 (237)

Some Identities of the Twisted 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and 𝑞-Bernstein Polynomials with Weight 𝛼

Abstract and Applied Analysis, 2011
Recently mathematicians have studied some interesting relations between 𝑞-Genocchi numbers, 𝑞-Euler numbers, polynomials, Bernstein polynomials, and 𝑞-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj   +1 more source

Ensemble Postprocessing Using Quantile Function Regression Based on Neural Networks and Bernstein Polynomials

Monthly Weather Review, 2019
The value of ensemble forecasts is well documented. However, postprocessing by statistical methods is usually required to make forecasts reliable in a probabilistic sense. In this work a flexible statistical method for making probabilistic forecasts in
J. Bremnes
semanticscholar   +1 more source

𝑞-Bernstein Polynomials Associated with 𝑞-Stirling Numbers and Carlitz's 𝑞-Bernoulli Numbers

Abstract and Applied Analysis, 2010
Recently, Kim (2011) introduced 𝑞-Bernstein polynomials which are different 𝑞-Bernstein polynomials of Phillips (1997). In this paper, we give a 𝑝-adic 𝑞-integral representation for 𝑞-Bernstein type polynomials and investigate some interesting ...
T. Kim, J. Choi, Y. H. Kim
doaj   +1 more source

Generalized Bernstein-Chlodowsky Polynomials

Rocky Mountain Journal of Mathematics, 1998
For given positive integers \(n\) and \(m\), the generalization of Bernstein-Chlodowsky polynomials is defined by \[ B_{n,m}(f,x)= \Biggl( 1+(m-1) \frac{x}{b_n} \Biggr) \sum_{k=0}^{[n/m]} f\Biggl( \frac{b_nk} {n-(m-1)k}\Biggr) C_{n-(m-1)k}^k \Biggl( \frac{x}{b_n} \Biggr)^k \Biggl(1- \frac{x}{b_n} \Biggr)^{n-mk}, \] where \(b_n\) is a sequence of ...
Gadjiev, A.D., Efendiev, R.O., Ibikli, E.   +2 more
openaire   +3 more sources

Sparse polynomial interpolation with Bernstein polynomials

TURKISH JOURNAL OF MATHEMATICS, 2021
Summary: We present an algorithm for interpolating an unknown univariate polynomial \(f\) that has a \(t\) sparse representation (\(t\ll\deg(f)\)) using Bernstein polynomials as term basis from \(2t\) evaluations. Our method is based on manipulating given black box polynomial for \(f\) so that we can make use of Prony's algorithm.
openaire   +4 more sources

On 𝑝-Adic Analogue of 𝑞-Bernstein Polynomials and Related Integrals

Discrete Dynamics in Nature and Society, 2010
Recently, Kim's work (in press) introduced 𝑞-Bernstein polynomials which are different Phillips' 𝑞-Bernstein polynomials introduced in the work by (Phillips, 1996; 1997).
T. Kim, J. Choi, Y. H. Kim, L. C. Jang
doaj   +1 more source

Shape Preserving Properties for q-Bernstein-Stancu Operators

Journal of Mathematics, 2014
We investigate shape preserving for q-Bernstein-Stancu polynomials Bnq,α(f;x) introduced by Nowak in 2009. When α=0, Bnq,α(f;x) reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q=1, Bnq,α(f;x) reduces to Bernstein ...
Yali Wang, Yinying Zhou
doaj   +1 more source

Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

Mathematics, 2022
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
doaj   +1 more source

Jacobi Polynomials, Bernstein-type Inequalities and Dispersion Estimates for the Discrete Laguerre Operator [PDF]

, 2018
The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new wrinkle by establishing some intriguing connections with dispersive ...
Koornwinder, Tom, Kostenko, Aleksey, Teschl, Gerald   +2 more
core   +3 more sources

Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk

Journal of Inequalities and Applications, 2007
Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeros within the unit disk D.
Szilárd Gy. Révész
doaj   +2 more sources