On Some Inequalities Arising from Montgomery's Identity
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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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