ON WEIGHTED INEQUALITIES WITH GEOMETRIC MEAN OPERATOR

DOI10.1017/S0004972708000841zbMath1161.26011MaRDI QIDQ3603864

Dah-Chin Luor

Publication date: 19 February 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

exponential inequalityintegral operatorweighted inequalityGeometric mean operator

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• An equivalence theorem for some integral conditions with general measures related to Hardy's inequality
• Weighted Hardy and Opial-type inequalities
• Inequalities related to Knopp's inequality
• On the geometric mean operator
• Exponential inequalities for a class of operators
• Weighted integral inequalities with the geometric mean operator
• Inequalities related to Hardy's and Heinig's
• Inequalities related to those of Hardy and of Cochran and Lee
• On the Best Constant in Weighted Inequalities for Riemann-Liouville Integrals
• Hardy Inequalities with Mixed Norms
• Weighted Inequalities for Geometric Means
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• Equivalence of Hardy-type inequalities with general measures on the cones of non-negative respective non-increasing functions
• A characterization for the boundedness of geometric mean operator

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