Exploring probabilistic Bernstein polynomials: identities and applications
Ayşe Karagenç, Mehmet Açıkgöz, Serkan Aracı
Abstract
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler polynomials of higher order, Stirling numbers of the second kind and Bell polynomials subject to several special random variables.
Topics & Concepts
Probabilistic logicAlgebra over a fieldBernstein polynomialMathematicsPure mathematicsComputer scienceStatisticsAdvanced Mathematical IdentitiesApproximation Theory and Sequence SpacesAdvanced Numerical Analysis Techniques