On Some Inequalities Arising from Montgomery's Identity

Cerone, Pietro and Dragomir, Sever S (2000) On Some Inequalities Arising from Montgomery's Identity. RGMIA research report collection, 3 (2).

Abstract

An identity due to Montgomery is utilised to obtain other identities from which a number of novel inequalities are developed. The work also recaptures some of the existing results as special cases, such as the Mahajani inequality. Bounds are obtained for expressions involving moments, within a general framework.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17307
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Montgomery’s Identity, Mahajani inequality, Chebychev inequality, Grüss inequality, inequalities, moments
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