Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Some reiteration results for interpolation methods defined by means of polygons

Fernando Cobosa1, Luz M. Fernández-Cabreraa2 and Joaquim Martína3

a1 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain (cobos@mat.ucm.es)

a2 Departamento de Matemática Aplicada, Escuela de Estadística, Universidad Complutense de Madrid, 28040 Madrid, Spain (luz_fernandez-c@mat.ucm.es)

a3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C, 08193 Bellaterra (Barcelona), Spain (jmartin@mat.uab.es)

Abstract

We continue the research on reiteration results between interpolation methods associated to polygons and the real method. Applications are given to N-tuples of function spaces, of spaces of bounded linear operators and Banach algebras.

(Received March 05 2007)

(Accepted October 11 2007)