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Inequalities related to Hardy's and Heinig's

Published online by Cambridge University Press:  24 October 2008

James A. Cochran  and
Cheng-Shyong Lee
James A. Cochran
Affiliation:
Department of Mathematics, Washington State University, Pullman, WA 99164, U.S.A.
Cheng-Shyong Lee
Affiliation:
Department of Mathematics, Washington State University, Pullman, WA 99164, U.S.A.
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Extract

In a 1975 paper [8], Heinig established the following three inequalities:

where A = p/(p + s − λ) with p, s, λ real numbers satisfying p + s > λ,p > 0;

where B = p/(2p + sp − λ −1) with p, s, λ real numbers satisfying 2p +sp > λ, + 1, p > 0;

where is a sequence of nonnegative real numbers,

and C = p[l + l/(p + s−λ)] with p, s, λ real numbers satisfying s > 0, p ≥ 1, and p +s > λ 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 1 - 7
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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