Results 11 to 20 of about 12,311,211 (322)
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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Bernstein-Schurer-Stancu operator–based adaptive controller design for chaos synchronization in the q-analogue [PDF]
AUT Journal of Modeling and Simulation, 2023 In this paper, a synchronization controller for chaotic master-slave systems is presented based on the q-analogue of the Bernstein-Schurer-Stancu operators. q-analogue of the Bernstein-Schurer-Stancu operators is employed to approximate uncertainties due
Alireza izadbakhsh
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Lupaş post quantum Bernstein operators over arbitrary compact intervals
Karpatsʹkì Matematičnì Publìkacìï, 2021 This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan +3 more
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Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control
Machines, 2022 Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella +4 more
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THE GEOMETRIC MEAN IS A BERNSTEIN FUNCTION [PDF]
, 2013 In the paper, the authors establish, by using Cauchy integral for- mula in the theory of complex functions, an integral representation for the geometric mean of n positive numbers.
Feng Qi (祁锋) +2 more
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A Note on New Bernstein-type Inequalities for the Log-likelihood Function of Bernoulli Variables [PDF]
Statistics and Probability Letters, 2019 We prove a new Bernstein-type inequality for the log-likelihood function of Bernoulli variables. In contrast to classical Bernstein's inequality and Hoeffding's inequality when applied to the log-likelihood, the new bound is independent of the parameters
Yunpeng Zhao
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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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Nearly Minimax Optimal Reinforcement Learning with Linear Function Approximation [PDF]
International Conference on Machine Learning, 2022 We study reinforcement learning with linear function approximation where the transition probability and reward functions are linear with respect to a feature mapping $\boldsymbol{\phi}(s,a)$.
Pihe Hu, Yu Chen, Longbo Huang
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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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