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Bounds for the weighted Lp discrepancy and tractability of integration

✍ Scribed by Gunther Leobacher; Friedrich Pillichshammer

Book ID
108457535
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
218 KB
Volume
19
Category
Article
ISSN
0885-064X

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πŸ“œ SIMILAR VOLUMES

Weighted Lp Inequalities for a Class of
Weighted Lp Inequalities for a Class of Integral Operators Including the Classical Index Transforms
✍ Benito J. GonzΓ‘lez; Emilio R. Negrin πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 74 KB

In this paper we study the behaviour of certain integral operators acting on weighted L p spaces. Particular cases include the classical integral transforms of Kontorovich and Lebedev and Mehler and Fock and the F -index transform 2 1 considered by Gonzalez, Hayek, and Negrin.

On the stabiity of collocation methods f
On the stabiity of collocation methods for Cauchy singular integral equations in weighted Lp spaces
✍ Peter Junghanns; Giuseppe Mastroianni; Markus Seidel πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 353 KB πŸ‘ 1 views

## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their so‐called __k__ ‐splitt