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An extension of the Landau and Levin-Steckin inequalities
Department of Mathematics, Uppsala University.
Faculty of Textile Technology.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: Acta Scientarum Mathematicarum, ISSN 0001-6969, Vol. 70, no 1-2, p. 25-34Article in journal (Refereed) Published
Abstract [en]

The authors prove an inequality for sums, which generalizes both Landau's sharpening of Carlson's inequality and the corresponding complementary result by Levin and Ste\v{c}kin. The inequality is optimal, in the sense that necessary and sufficient conditions on the parameters for which the inequality holds are given. In some cases, sharp constants are obtained, also in situations not covered by the classical results.

Place, publisher, year, edition, pages
2004. Vol. 70, no 1-2, p. 25-34
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5476Local ID: 3970c6f0-a648-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-5476DiVA, id: diva2:978350
Note
Validerad; 2004; 20061109 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Persson, Lars-Erik

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