Results 21 to 30 of about 2,797,460 (290)
A Novel Generalization of Bézier-like Curves and Surfaces with Shape Parameters
Mathematics, 2022 Bézier curves and surfaces with shape parameters have received more attention in the field of engineering and technology in recent years because of their useful geometric properties as compared to classical Bézier curves, as well as traditional Bernstein
Moavia Ameer +3 more
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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
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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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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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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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Polynomial approximation of regular functions of a quaternionic variable
Science, Technology and Innovation, 2022 We consider Bernstein-Walsh-Siciak-type theorems on the polynomial approximation in the case of regular functions of one quaternionic variable and their applications to the uniform approximation and approximation in Lp norms with respect to measures ...
Jerzy Szczepański
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Internal Bernstein functions and Lévy‐Laplace exponents [PDF]
Mathematical Methods in the Applied Sciences, 2020 Bertoin, Roynette and Yor (2004) described new connections between the class of Lévy‐Laplace exponents Ψ (also called the class of (sub)critical branching mechanism) and the class of Bernstein functions ( ) which are internal, that is, those Bernstein functions ϕ s.t. Ψ∘ϕ remains a Bernstein function for every Ψ. We complete their work and illustrate
Kholoud Basalim +2 more
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Arab 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
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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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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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