Results 1 to 10 of about 12,311,211 (322)
A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function
Abstract and Applied Analysis, 2010 The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yilmaz Simsek, Mehmet Acikgoz
doaj +3 more sources
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 +2 more
doaj +2 more sources
Quantum algorithms for testing Boolean functions [PDF]
Electronic 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
A note on the Galambos copula and its associated Bernstein function
Dependence Modeling, 2014 There is an infinite exchangeable sequence of random variables {Xk}k∈ℕ such that each finitedimensional distribution follows a min-stable multivariate exponential law with Galambos survival copula, named after [7].
Mai Jan-Frederik
doaj +2 more sources
Higher Order Thorin–Bernstein Functions [PDF]
Results 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
Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this study, we purpose to extend approximation properties of the $ (p,q)$-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces.
Esma Ozkan
doaj +1 more source
On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة 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
A Family of Horn-Bernstein Functions [PDF]
Experimental Mathematics, 2021 14 pages references ...
Berg, Christian, Pedersen, Henrik L.
openaire +4 more sources
On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
doaj +1 more source
Shape-constrained estimation in functional regression with Bernstein polynomials [PDF]
Computational Statistics & Data Analysis, 2022 Shape restrictions on functional regression coefficients such as non-negativity, monotonicity, convexity or concavity are often available in the form of a prior knowledge or required to maintain a structural consistency in functional regression models. A
Rahul Ghosal +4 more
semanticscholar +1 more source