A simpler proof of two inequalities of Brodlie and Everitt-Reference-Cited by-同舟云学术

A simpler proof of two inequalities of Brodlie and Everitt

Published:1979 Issue:3-4 Volume:84 Page:259-261
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Beesack P. R.

Abstract

SynopsisIn 1975 K. W. Brodie and W. N. Everitt dealt with integral inequalities of the form

in the two casesT= ℝ,T= ℝ+, and obtained the best possible constantsKT(μ)for all μ ε ℝ. The proof was not elementary, but an elementary proof was given in 1977 by E. T. Copson. This note shows how Copson's method can be greatly simplified so as to obtain the results in a more straightforward manner.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. On an inequality of Hardy and Littlewood;Brodlie;Proc. Roy. Soc. Edinburgh Sect. A,1975

2. On two inequalities of Brodlie and Everitt

3. On two integral inequalities

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