Results 91 to 100 of about 43,913 (238)
From Lagrange to Bernstein: Generalized Transfinite Elements with Arbitrary Nodes
MathematicsThis paper presents a unified framework for constructing transfinite finite elements with arbitrary node distributions, using either Lagrange or Bernstein polynomial bases. Three distinct classes of elements are considered.
Christopher Provatidis
doaj +1 more source
Frequency Stability-Constrained Unit Commitment: Tight Approximation using Bernstein Polynomials [PDF]
, 2022 Bo Zhou, Ruiwei Jiang, Siqian Shen
openalex +1 more source
Asymptotic properties of the Bernstein density copula for dependent data [PDF]
Copulas are extensively used for dependence modeling. In many cases the data does not reveal how the dependence can be modeled using a particular parametric copula. Nonparametric copulas do not share this problem since they are entirely data based.
BOUEZMARNI, Taoufik +2 more
core
Weighted A-Statistical Convergence for Sequences of Positive Linear Operators
The Scientific World Journal, 2014 We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a
S. A. Mohiuddine +2 more
doaj +1 more source
Rational B\'ezier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves
, 2019 In this paper, we propose a linear method for $C^{(r,s)}$ approximation of rational B\'{e}zier curve with arbitrary degree polynomial curve. Based on weighted least-squares, the problem be converted to an approximation between two polynomial curves. Then
Shi, Mao
core
Iterates of Bernstein polynomials [PDF]
Pacific Journal of Mathematics, 1967 Kelisky, R. P., Rivlin, T. J.
openaire +3 more sources
Derivatives of Bernstein Polynomials and Smoothness [PDF]
Proceedings of the American Mathematical Society, 1985 Equivalence relations between the asymptotic behaviour of derivatives of Bernstein polynomials and the smoothness of the function they approximate are given. This is achieved with an a priori condition that the function is of class Lip β \operatorname {Lip}\beta with some small β >
openaire +2 more sources
How do singularities of functions affect the convergence of q-Bernstein polynomials? [PDF]
, 2015 Sofiya Ostrovska +2 more
openalex +1 more source
A Fast Single-Key Two-Level Universal Hash Function
IACR Transactions on Symmetric Cryptology, 2017 Universal hash functions based on univariate polynomials are well known, e.g. Poly1305 and GHASH. Using Horner’s rule to evaluate such hash functionsrequire l − 1 field multiplications for hashing a message consisting of l blocks where each block is one ...
Debrup Chakraborty +2 more
doaj +1 more source
Refinements of inequalities on extremal problems of polynomials
Open MathematicsLet H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni +2 more
doaj +1 more source