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Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1 [PDF]

open access: yesAbstract and Applied Analysis, 2014
This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1.
Nazim I. Mahmudov
doaj   +4 more sources

Bernstein-type approximations of smooth functions

open access: yesStatistica, 2007
The Bernstein-type approximation for smooth functions is proposed and studied. We propose the Bernstein-type approximation with definitions that directly apply the binomial distribution and the multivariate binomial distribution.
Andrea Pallini
doaj   +3 more sources

Quantum algorithms for testing Boolean functions [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
We discuss quantum algorithms, based on the Bernstein-Vazirani algorithm, for finding which variables a Boolean function depends on. There are 2^n possible linear Boolean functions of n variables; given a linear Boolean function, the Bernstein-Vazirani ...
Erika Andersson   +2 more
doaj   +4 more sources

Bernstein-type characterization of entire functions

open access: yesДоповiдi Нацiональної академiї наук України, 2023
Let ε be the set of all entire functions on the complex plane C. Let us consider the class XE of all complex Banach spaces X such that X ⊇ ε . For (X, ⎥⎥ ⋅ ⎥⎥)∈XE and g ∈X we write En, X (g ) = inf {⎥⎥ g − p⎥⎥: p∈Πn }, where Πn is the set of all ...
O.A. Dovgoshey   +2 more
doaj   +3 more sources

Bernstein Approximations for Fuzzy-Valued Functions

open access: yesMathematics
Studying the Bernstein approximations for fuzzy functions is a new attempt. With the help of considering the support functions of fuzzy sets in which the weak* topology for the normed dual space is involved, we are able to approximate continuous fuzzy ...
Hsien-Chung Wu
doaj   +2 more sources

Higher Order Thorin–Bernstein Functions [PDF]

open access: yesResults in Mathematics, 2023
AbstractWe investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin–Bernstein functions. Representations in terms of incomplete beta and gamma as well as hypergeometric functions are presented. Several special cases and examples are discussed.
Stamatis Koumandos, Henrik L. Pedersen
openaire   +4 more sources

A Family of Horn-Bernstein Functions [PDF]

open access: yesExperimental Mathematics, 2021
14 pages references ...
Berg, Christian, Pedersen, Henrik L.
openaire   +4 more sources

Novel Formulas for B-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions

open access: yesMathematics, 2023
The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
doaj   +1 more source

On Better Approximation of the Squared Bernstein Polynomials [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2022
The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function  defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
doaj   +1 more source

Lupaş post quantum Bernstein operators over arbitrary compact intervals

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan   +3 more
doaj   +1 more source

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