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Complementary Romanovski–Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions
(2020-03-01)
In a recent paper (Martínez-Finkelshtein et al. in Proc Am Math Soc 147:2625–2640, 2019) some interesting results were obtained concerning complementary Romanovski–Routh polynomials, a class of orthogonal polynomials on ...
Extendibility of Polynomials and Analytic Functions on lp
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2000-03)
Extended best polynomial approximation operator in Orlicz Spaces
(Taylor & Francis, 2015-04)
In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ϕ(B) where ϕ is the derivative function of Φ. A characterization of these operators and ...
Extended Relativistic Toda Lattice, L-Orthogonal Polynomials and Associated Lax Pair
(2018-01-01)
When a measure Ψ(x) on the real line is subjected to the modification dΨ( t )(x) = e− t xdΨ(x) , then the coefficients of the recurrence relation of the orthogonal polynomials in x with respect to the measure Ψ( t )(x) are ...
Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces
(Springer Heidelberg, 2019-02)
In this paper we pursue the study of the best approximation operator extended from L^Φ to L^φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best ...
Extending polynomials in maximal and minimal ideals
(Kyoto Univeristy, 2010-03)
Given a homogeneous polynomial on a Banach space E belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of E and prove that this extension remains in the ideal and has ...
Extension of polynomials and John's theorem for symmetric tensor products.
(American Mathematical Society, 2007-12)
We show that for every infinite-dimensional normed space E and every k ≥ 3 there are extendible k-homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John.
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
M-structures in vector-valued polynomial spaces
(Heldermann Verlag, 2012-12)
This paper is concerned with the study of M-structures in spaces of polynomials. More precisely, we discuss for E and F Banach spaces, whether the class of weakly continuous on bounded sets n-homogeneous polynomials, Pw(nE; ...