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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A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus
Journal of Inequalities and Applications, 2018 Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz, Mehmet Acikgoz
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An alternative distribution function estimation method using rational Bernstein polynomials [PDF]
, 2019 This paper gives a general method for nonparametric distribution function estimation using the rational Bernstein polynomials as an alternative to the current estimators.
Mahmut Sami Erdoğan +5 more
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Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
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A note on Kantorovich type Bernstein Chlodovsky operators which preserve exponential function [PDF]
, 2021 This paper is mainly focused on the integral extension of Bernstein-Chlodovsky operators which preserve exponential function. Inspire of the Bernstein-Chlodovsky operators which preserve exponential function, we define the integral extension of these ...
Aral, Ali +5 more
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Generalized Bernstein Polynomials and Symmetric Functions
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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Quantum algorithms for testing Boolean functions [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 We discuss quantum algorithms, based on the Bernstein-Vazirani algorithm, for finding which variables a Boolean function depends on. There are 2^n possible linear Boolean functions of n variables; given a linear Boolean function, the Bernstein-Vazirani ...
Erika Andersson +2 more
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Bernstein Approximations to the Copula Function and Portfolio Optimization [PDF]
, 2004 The copula function is considered within the context of financial multivariate data sets that are not normally distributed. The Bernstein polynomial approximation to copulae is given and motivated by its desirable properties.
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Bernstein-type operators on the unit disk [PDF]
, 2023 We construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under a domain transformation, we analyze the bivariate Bernstein–Stancu ...
Pérez, Teresa E. +2 more
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Kantorovich-Bernstein a-fractal function in LP spaces [PDF]
, 2019 Fractal interpolation functions are fixed points of contraction maps on suitable function spaces. In this paper, we introduce the Kantorovich-Bernstein a-fractal operator in the Lebesgue space Lp(I), 1 = p = 8.
Jha, S., Chand, A.K.B., Navascués, M.A.
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