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Abstract
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Journal of Inequalities and Applications 
Volume 6 (2001), Issue 6, Pages 633-640
doi:10.1155/S1025583401000388

Refining the Hölder and Minkowski inequalities

G. Sinnamon

Department of Mathematics, University of Western Ontario, Ontario, London N6A 5B7, Canada

Received 28 February 2000; Revised 8 April 2000

Abstract

Refinements to the usual Hölder and Minkowski inequalities in the Lebegue spaces Lμp are proved. Both are inequalities for non-negative functions and both reduce to equality in Lμ2.