Results 11 to 20 of about 18,564 (292)
A Family of Horn-Bernstein Functions [PDF]
Experimental Mathematics, 2021 14 pages references ...
Berg, Christian, Pedersen, Henrik L.
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Generalized Bernstein functions [PDF]
MATHEMATICA SCANDINAVICA, 2023 A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated. The subclass of generalized Thorin-Bernstein functions is characterized in different ways.
Koumandos, Stamatis, Pedersen, Henrik L.
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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
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Bernstein-type approximations of smooth functions
Statistica, 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
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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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An Improved Material Point Method with Aggregated and Smoothed Bernstein Functions
Mathematics, 2023 Nodal shape functions and their gradients are vital in transferring physical information within the material point method (MPM). Their continuity is related to numerical stability and accuracy, and their support domain size affects computational ...
Zheng Zhu +5 more
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Approximations of Generalized Bernstein Functions
Constructive ApproximationAbstract We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely
Koumandos, Stamatis +1 more
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Quantum Bernstein fractal functions
Computational and Mathematical Methods, 2020 In this article, taking the quantum Bernstein functions as base functions, we have proposed the class of quantum Bernstein fractal functions. When (Formula presented.) the base function is taken as the classical q-Bernstein polynomials, we propose the class of quantum fractal functions through a multivalued quantum fractal operator.
N. Vijender +3 more
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Hybrid of Block-pulse and orthonormal Bernstein functions for fractional differential equations [PDF]
, 2022 Differential equations of fractional order have been the focus of many studies due to their frequent appearance in various applications in fluid mechanics, biology, physics, and engineering.
S. Abbasbandy, M. Entezari, E. Babolian
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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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