On refined Hardy-Knopp type inequalities in Orlicz spaces and some related results

DOI10.1186/S13660-015-0686-4zbMath1339.26039OpenAlexW2143733042WikidataQ59435172 ScholiaQ59435172MaRDI QIDQ264420

Jinjie Zhang, Shen-Zhou Zheng

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0686-4

zbMATH Keywords

convex functionsOrlicz spacesnorm inequalitiessuperquadratic functionsHardy-Knopp type inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• A new version of Jensen's inequality and related results
• On a new class of Hardy-type inequalities
• Some new refined Hardy type inequalities with general kernels and measures
• On strengthened Hardy and Pólya-Knopp's inequalities.
• Some new Hardy type inequalities with general kernels
• MULTIDIMENSIONAL HARDY-TYPE INEQUALITIES VIA CONVEXITY
• Weighted $L_{Φ}$ integral inequalities for operators of Hardy type
• Weighted estimates for integral transforms and a variant of Schur's Lemma
• Hardy-type inequalities via convexity
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