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Discrete analogs of inequalities of Wirtinger

Fan, Ky and Taussky, Olga and Todd, John (1955) Discrete analogs of inequalities of Wirtinger. Monatshefte für Mathematik, 59 (2). pp. 73-90. ISSN 0026-9255. doi:10.1007/bf01302991. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905487

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Abstract

In the theory of inequalities there are often encountered inequalities which are first proved for finite series and then established for infinite series or integrals. We shall discuss here the finite analogs of several integral inequalities which appear to have been established directly. There is often the added interest in the finite case of considering whether or not an improvement in the constants is possible (cf. H. Frazer [7]).


Item Type:Article
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URLURL TypeDescription
https://doi.org/10.1007/bf01302991DOIArticle
https://rdcu.be/b8V4bPublisherFree ReadCube access
Additional Information:© 1955 Springer. (Received September 3, 1954.) This research was partially supported by the United States Air Force, through the Office of Scientific Research of the Air Research and Development Command. It was performed in part under a contract between the American University and the National Bureau of Standards.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
American UniversityUNSPECIFIED
National Bureau of StandardsUNSPECIFIED
Issue or Number:2
DOI:10.1007/bf01302991
Record Number:CaltechAUTHORS:20201022-100905487
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905487
Official Citation:Fan, K., Taussky, O. & Todd, J. Discrete analogs of inequalities of Wirtinger. Monatshefte für Mathematik 59, 73–90 (1955). https://doi.org/10.1007/BF01302991
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106216
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:23 Oct 2020 17:46
Last Modified:16 Nov 2021 18:52

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