Author:
Author:
Ferenc Móricz
Ferenc Móricz
University of Szeged Bolyai Institute Aradi vértanúk tere 1 Szeged 6720 Hungary
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Abstract
We introduce the higher order Lipschitz classes Λr(α) and λr(α) of periodic functions by means of the rth order difference operator, where r = 1, 2, ..., and 0 < α ≦ r. We study the smoothness property of a function f with absolutely convergent Fourier series and give best possible sufficient conditions in terms of its Fourier coefficients in order that f belongs to one of the above classes.
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| Acta Mathematica Hungarica | |
|---|---|
| Language | English |
| Size | B5 |
| Year of Foundation |
1950 |
| Volumes per Year |
3 |
| Issues per Year |
6 |
| Founder | Magyar Tudományos Akadémia  |
| Founder's Address |
H-1051 Budapest, Hungary, Széchenyi István tér 9. |
| Publisher | Akadémiai Kiadó Springer Nature Switzerland AG |
| Publisher's Address |
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11. |
| Responsible Publisher |
Chief Executive Officer, Akadémiai Kiadó |
| ISSN | 0236-5294 (Print) |
| ISSN | 1588-2632 (Online) |
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