Results 11 to 20 of about 2,797,460 (290)
Bernstein Approximations for Fuzzy-Valued Functions
MathematicsStudying the Bernstein approximations for fuzzy functions is a new attempt. With the help of considering the support functions of fuzzy sets in which the weak* topology for the normed dual space is involved, we are able to approximate continuous fuzzy ...
Hsien-Chung Wu
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Generalized Bernstein Polynomials and Symmetric Functions [PDF]
Advances in Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert P. Boyer, Linda C. Thiel
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Approximations of Generalized Bernstein Functions [PDF]
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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Structured matrix methods for computations on Bernstein basis polynomials [PDF]
, 2013 This thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it
Yang, Ning
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
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Linear Optimization of Polynomial Rational Functions: Applications for Positivity Analysis
Mathematics, 2020 In this paper, we provide tight linear lower bounding functions for multivariate polynomials given over boxes. These functions are obtained by the expansion of polynomials into Bernstein basis and using the linear least squares function.
Tareq Hamadneh +2 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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Bernstein-gamma functions and exponential functionals of Lévy processes [PDF]
Electronic 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
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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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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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