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Applications of conjugate operators to determination of jumps for functions.

Authors :
Shi, X.
Wang, W.
Source :
Acta Mathematica Hungarica. Mar2012, Vol. 134 Issue 4, p439-451. 13p.
Publication Year :
2012

Abstract

We prove that the conjugate convolution operators can be used to calculate jumps for functions. Our results generalize the theorems established by He and Shi. Furthermore, by using Lukács and Móricz's idea, we solve an open question posed by Shi and Hu. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CONJUGATE gradient methods
*OPERATOR theory
*JUMP processes
*ALGEBRAIC functions
*MATHEMATICAL convolutions
*HILBERT transform
*WAVELETS (Mathematics)
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
02365294
Volume :
134
Issue :
4
Database :
Academic Search Index
Journal :
Acta Mathematica Hungarica
Publication Type :
Academic Journal
Accession number :
71112624
Full Text :
https://doi.org/10.1007/s10474-011-0131-1
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