12.—On an Inequality of Hardy and Littlewood

Author:

Brodlie K. W.,Everitt W. N.

Abstract

This paper considers a natural extension of the following inequality of Hardy and Littlewoodto an inequality of the formwhere μ>0 and 0<K(μ)<∞. The best possible value of k(μ) is determined, and all the cases of equality.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

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2. On a Property of the M -Coefficient of a Secondorder Linear Differential Equation

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4. On inequalities between the powers of a linear operator;Ljubic;Izv. Akad. Nauk. SSSR Ser. Mat.,1960

5. On an extension to an integro-differential inequality of Hardy, Littlewood and Polya;Everitt;Proc. Roy. Soc. Edinb.,1971

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