Results 21 to 30 of about 236,948 (272)

Lupaş blending functions with shifted knots and q-Bézier curves

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we introduce blending functions of Lupaş q-Bernstein operators with shifted knots for constructing q-Bézier curves and surfaces. We study the nature of degree elevation and degree reduction for Lupaş q-Bézier Bernstein functions with ...
Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters

open access: yesJournal of Mathematics, 2021
In this paper, we present a new class of sextic trigonometric Bernstein (ST-Bernstein, for short) basis functions with two shape parameters along with their geometric properties which are similar to the classical Bernstein basis functions.
Salma Naseer   +5 more
doaj   +1 more source

Bernstein-gamma functions and exponential functionals of Lévy processes [PDF]

open access: yesElectronic Journal of Probability, 2018
We study the equation $M_Ψ(z+1)=\frac{-z}{Ψ(-z)}M_Ψ(z), M_Ψ(1)=1$ defined on a subset of the imaginary line and where $Ψ$ is a negative definite functions. Using the Wiener-Hopf method we solve this equation in a two terms product which consists of functions that extend the classical gamma function.
Patie, Pierre, Savov, Mladen
openaire   +3 more sources

The combinatorics of Bernstein functions [PDF]

open access: yesTransactions of the American Mathematical Society, 2000
A construction of Bernstein associates to each cocharacter of a split p p -adic group an element in the center of the Iwahori-Hecke algebra, which we refer to as a Bernstein function. A recent conjecture of Kottwitz predicts that Bernstein functions play an important role in the theory of bad reduction of a certain class of Shimura ...
openaire   +2 more sources

Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]

open access: yes, 2012
A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F.   +14 more
core   +4 more sources

New characterizations of completely monotone functions and Bernstein functions, a converse to Hausdorff’s moment characterization theorem

open access: yesArab Journal of Mathematical Sciences, 2019
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their ...
Rafik Aguech, Wissem Jedidi
doaj   +1 more source

Quantum algorithms for testing and learning Boolean functions [PDF]

open access: yes, 2013
We discuss quantum algorithms based on the Bernstein-Vazirani algorithm for finding which input variables a Boolean function depends on. There are 2(n) possible linear Boolean functions of n input variables; given a linear Boolean function, the Bernstein-
Andersson, Anna Erika Elisabeth   +2 more
core   +1 more source

Curve and surface construction based on the generalized toric-Bernstein basis functions

open access: yesOpen Mathematics, 2020
The construction of parametric curve and surface plays an important role in computer aided geometric design (CAGD), computer aided design (CAD), and geometric modeling.
Li Jing-Gai, Zhu Chun-Gang
doaj   +1 more source

On the shape-preserving properties of λ-Bernstein operators

open access: yesJournal of Inequalities and Applications, 2022
We investigate the shape-preserving properties of λ-Bernstein operators B n , λ ( f ; x ) $B_{n,\lambda } ( f;x ) $ that were recently introduced Bernstein-type operators defined by a new Beziér basis with shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in ...
Lian-Ta Su, Gökhan Mutlu, Bayram Çekim
doaj   +1 more source

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim   +3 more
doaj   +1 more source

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