Sufficient conditions for trigonometric integrals to belong to a Zygmund class of functions
Let f : R → C be a Lebesgue integrable function on the real line R := (−∞, ∞) and consider its trigonometric integral defined by I(x) := R R f(t)e itxdt, x ∈ R. We give sufficient conditions in terms of certain integral means of f to ensure that I(x) belong to one of the Zygmund classes Zyg(α) and z...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 3-4 |
| Kulcsszavak: | Trigonometria, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/50045 |