Some new refinements of strengthened Hardy and Pólya–Knopp′s inequalities | Zendy

Aleksandra Čižmešija | Zendy; Sabir Hussain | Zendy; ‎Josip Pečarić | Zendy

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Some new refinements of strengthened Hardy and Pólya–Knopp′s inequalities

Author(s) -

Aleksandra Čižmešija,

Sabir Hussain,

‎Josip Pečarić

Publication year - 2009

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2009/695685

Subject(s) - mathematics , inequality , pure mathematics , type (biology) , convex function , relation (database) , regular polygon , mathematical analysis , computer science , geometry , ecology , database , biology

We prove a new general one-dimensional inequality for convexfunctions and Hardy–Littlewood averages. Furthermore, we apply this result tounify and refine the so-called Boas's inequality and the strengthened inequalitiesof the Hardy–Knopp–type, deriving their new refinements as special cases of theobtained general relation. In particular, we get new refinements of strengthenedversions of the well-known Hardy and Pólya–Knopp's inequalities

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