Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces
Journal of Computational and Applied Mathematics, 2015 In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found.
Alicia Cordero +2 more
exaly +2 more sources
Understanding recurrence relations for Chebyshevian B-splines via blossoms
Journal of Computational and Applied Mathematics, 2008 International audienceThe purpose of this article is to show how naturally recurrence relations for most general Chebyshevian B-splines emerge from blossoms.
Marie-Laurence Mazure
exaly +2 more sources
Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications [PDF]
The Egyptian Statistical Journal, 1993 General results for obtaining recurrence relations for doubly truncated continuous distributions, are established, in the single and joint order statistics. We also present two applications.
M.M. Mohie El-Din, K.S. Sultan
doaj +1 more source
Recurrence relations and Benford’s law [PDF]
Statistical Methods & Applications, 2020 Version 1.0, 24 pages, 1 ...
Madeleine Farris +4 more
openaire +3 more sources
A Recurrence Related to Trees [PDF]
Proceedings of the American Mathematical Society, 1989 The asymptotic behavior of the solutions to an interesting class of recurrence relations, which arise in the study of trees and random graphs, is derived by making uniform estimates on the elements of a basis of the solution space. We also investigate a family of polynomials with integer coefficients, which may be called the "tree polynomials."
Knuth, Donald E., Pittel, Boris
openaire +2 more sources
Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
core +1 more source
Recurrence relations for the midpoint method. [PDF]
, 2000 Let F:D⊂X→Y be a twice Fréchet differentiable map with F′′ Lipschitz. The authors present a new convergence analysis and error estimates for the midpoint method in a Banach space for approximate solutions xn of Fx=0 by using Newton-Kantorovich type ...
Salanova Martínez, Amparo +2 more
core +1 more source
New Specific and General Linearization Formulas of Some Classes of Jacobi Polynomials
Mathematics, 2020 The main purpose of the current article is to develop new specific and general linearization formulas of some classes of Jacobi polynomials. The basic idea behind the derivation of these formulas is based on reducing the linearization coefficients which ...
Waleed Mohamed Abd-Elhameed, Afnan Ali
doaj +1 more source
Recurrence relations for Chebyshev-type methods. [PDF]
, 2000 The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a system of recurrence relations. A system of a priori error bounds for that method is also provided.
Ezquerro, J.A. [0000-0001-8120-167X] +1 more
core +1 more source
The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]
, 2013 We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter +3 more
core +1 more source