Perturbation of Orthogonal Fourier Expansions
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0021-9045
Any de publicació: 1998
Volum: 92
Número: 2
Pàgines: 294-307
Tipus: Article
Altres publicacions en: Journal of Approximation Theory
Resum
In this paper, a generalized Jacobi measure on [-1, 1] is perturbed by exponentials of functionsbof bounded mean oscillation. If we consider the Fourier series in orthogonal polynomials associated to each modification, then certain estimates (uniform inn∈N andbbelonging to some neighbourhood of the origin) are obtained. As a consequence, the partial sum operators depend analytically on the functional parameterb. The case of the Bessel series is also considered. © 1998 Academic Press.