Uniform convergence of double sine transforms of general monotone functions

A. Debernardi

doi:10.1007/s10476-017-0304-4

Uniform convergence of double sine transforms of general monotone functions

A. Debernardi

Autonomous University of Barcelona

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider different classes of functions of two variables that satisfy general monotonicity conditions, and obtain necessary and sufficient conditions for the uniform convergence in the regular sense and in the sense of Pringsheim of double sine transforms of functions of such classes.

Original language	English
Pages (from-to)	193-217
Number of pages	25
Journal	Analysis Mathematica
Volume	43
Issue number	2
DOIs	https://doi.org/10.1007/s10476-017-0304-4
State	Published - 1 Jun 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017, Akadémiai Kiadó, Budapest, Hungary.

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10.1007/s10476-017-0304-4

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Uniform convergence of double sine transforms of general monotone functions

Abstract

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