Results 21 to 30 of about 18,564 (292)
A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters
Journal 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
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Lupaş blending functions with shifted knots and q-Bézier curves
Journal 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
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The combinatorics of Bernstein functions [PDF]
Transactions 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 ...
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Generalization of the Energy Distance by Bernstein Functions [PDF]
Journal of Theoretical Probability, 2022 We reprove the well known fact that the energy distance defines a metric on the space of Borel probability measures on a Hilbert space with finite first moment by a new approach, by analyzing the behavior of the Gaussian kernel on Hilbert spaces and a Maximum Mean Discrepancy analysis.
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Problem 1. Bernstein functions
Journal of Computational and Applied Mathematics, 2005 Berg, Christian
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On self-similar Bernstein functions and corresponding generalized fractional derivatives
, 2021 We use the theory of Bernstein functions to analyze power law tail behavior with log-periodic perturbations which corresponds to self-similarity of the Bernstein functions. Such tail behavior appears in the context of semistable L\'evy processes.
Lage, Svenja, Kern, Peter
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The Hornich-Hlawka inequality and Bernstein functions [PDF]
, 2015 The Hornich-Hlawka inequality for three real numbers is extended from the identity function to all Bernstein functions on the half-line.
Ressel, Paul, Paul Ressel
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Curve and surface construction based on the generalized toric-Bernstein basis functions
Open 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
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On the shape-preserving properties of λ-Bernstein operators
Journal 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
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Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
Journal 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
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