Geodesic
Hardy-Type Inequalities with Weights
Serdica Mathematical Journal, Tome 41 (2015) no. 4, pp. 493-512.

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Hardy-type inequality with weights is derived in abstract form. Particular cases are presented to demonstrate the applicability of the method and to show generalizations of existing results. Sharpness of inequalities is proved and the results are illustrated with several examples. 2010 Mathematics Subject Classification: 26D10.
Keywords: Hardy inequality, weights, sharp estimates 
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     title = {Hardy-Type {Inequalities} with {Weights}},
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Fabricant, Alexander; Kutev, Nikolai; Rangelov, Tsviatko. Hardy-Type Inequalities with Weights. Serdica Mathematical Journal, Tome 41 (2015) no. 4, pp. 493-512. http://geodesic.mathdoc.fr/item/SMJ2_2015_41_4_a10/