caa a22 4500 475839005 CHVBK 20180406123856.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1023/A:1006473226163 doi (NATIONALLICENCE)springer-10.1023/A:1006473226163 Hermite Interpolation and Sobolev Orthogonality [Elektronische Daten] [Esther García-Caballero, Teresa Pérez, Miguel Piñar] In this paper, we study orthogonal polynomials with respect to the bilinear form (f, g) S = V(f) A V(g) T + <u, f (N) g (N)< where V(f) =(f(c 0), f "(c 0), ..., f (n − 1) 0(c 0), ..., f(c p ), f "(c p ), ..., f (n − 1) p(c p )) u is a regular linear functional on the linear space P of real polynomials, c 0, c 1, ..., c p are distinct real numbers, n 0, n 1, ..., n p are positive integer numbers, N=n 0+n 1+...+n p , and A is a N × N real matrix with all its principal submatrices nonsingular. We establish relations with the theory of interpolation and approximation. Kluwer Academic Publishers, 2000 Sobolev bilinear forms nationallicence orthogonal polynomials nationallicence Hermite interpolation nationallicence García-Caballero Esther Departamento de Matemáticas, Universidad de Jaén, Jaén, Spain. e-mail aut Pérez Teresa Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain. e-mail aut Piñar Miguel Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain. e-mail aut Acta Applicandae Mathematica Kluwer Academic Publishers 61/1-3(2000-05-01), 87-99 0167-8019 61:1-3<87 2000 61 10440 https://doi.org/10.1023/A:1006473226163 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1006473226163 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- García-Caballero Esther Departamento de Matemáticas, Universidad de Jaén, Jaén, Spain. e-mail aut NATIONALLICENCE 700 1- Pérez Teresa Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain. e-mail aut NATIONALLICENCE 700 1- Piñar Miguel Departamento de Matemática Aplicada and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Spain. e-mail aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 61/1-3(2000-05-01), 87-99 0167-8019 61:1-3<87 2000 61 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer