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A Note on Some Inequalities

Published online by Cambridge University Press:  18 May 2009

T. M. Flett
T. M. Flett
Affiliation:
Department Of Pure Mathematics, The University, Liverpool
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In the course of some recent work on Fourier series [5, 6] I had occasion to use a number of integral inequalities which were generalizations or limiting cases of known results. These inequalities may perhaps have other applications, and it seems worth while to collect them together in a separate note with one or two further results of a similar nature.

For any number k, used as an index (exponent), and such that K > 1, we write k' = k′(k–1), so that k and k′ are conjugate indices in the sense of Hölder's inequality.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 1 , December 1958 , pp. 7 - 15
Copyright
Copyright © Glasgow Mathematical Journal Trust 1958

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