Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Antonia M. Delgado"'
Publikováno v:
Proceedings of the American Mathematical Society. 146:3961-3974
We construct bivariate polynomials orthogonal with respect to a Krall-type inner product on the triangle defined by adding Krall terms over the border and the vertexes to the classical inner product. We prove that these Krall-type orthogonal polynomi
We define two isomorphic algebras of differential operators: the first algebra consists of ordinary differential operators and contains the hypergeometric differential operator, while the second one consists of partial differential operators in d var
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::faa548bf6932a86a1cbea15a0256644e
Publikováno v:
Journal of Approximation Theory. 170:94-106
Multivariate orthogonal polynomials associated with a Sobolev-type inner product, that is, an inner product defined by adding the evaluation of derivatives at several points to a measure, are studied. Orthogonal polynomials and kernel functions assoc
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92eedd0f4378743be195d7907e7409a3
http://arxiv.org/abs/1601.07194
http://arxiv.org/abs/1601.07194
We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their representation in terms of spherical harmonics, algebraic and analytic p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7b2c344c9ab1407a8e651bd61ab0edb
http://arxiv.org/abs/1512.01064
http://arxiv.org/abs/1512.01064
Publikováno v:
Complex Analysis and Operator Theory. 6:665-676
We present a Uvarov modification of the two variable classical measure on the unit disk by adding a finite set of equally spaced mass points on the border. In such a case, both orthogonal polynomials and reproducing kernels associated with this new m
Publikováno v:
Journal of Computational and Applied Mathematics. 235(4):916-926
Sobolev orthogonal polynomials in two variables are defined via inner products involving gradients. Such a kind of inner product appears in connection with several physical and technical problems. Matrix second-order partial differential equations sa
Publikováno v:
Numerical Algorithms. 55:245-264
Let d? be a measure in ? d obtained from adding a set of mass points to another measure dμ. Orthogonal polynomials in several variables associated with d? can be explicitly expressed in terms of orthogonal polynomials associated with dμ, so are the
Autor:
Akiko Goda, Keiko Ryo, Antonia M Delgado, Bhupendar Tayal, Marc Simon, Michael A Mathier, John Gorcsan
Publikováno v:
Circulation. 130
Introduction: Right ventricular (RV) global longitudinal strain has been recently shown to be a marker of prognosis in patients with pulmonary hypertension (PH) but the additive role of RV remodeling on long term outcome is unclear. Hypothesis: Our a
Publikováno v:
Methods Appl. Anal. 11, no. 2 (2004), 237-266
The present paper deals with the solution of an inverse problem in the theory of orthogonal polynomials. It was motivated by a characterization result concerning sequences of poly- nomials orthogonal with respect to a Sobolev inner product when they