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Improvements of Jensen-Type Inequalities for Diamond-α Integrals

We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the diff...

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Detalhes bibliográficos
Publicado no:Int Sch Res Notices
Main Authors: Bibi, Rabia, Pečarić, Josip, Lipanović, Mirna Rodić
Formato: Artigo
Idioma:Inglês
Publicado em: Hindawi Publishing Corporation 2014
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC4897212/
https://ncbi.nlm.nih.gov/pubmed/27379320
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1155/2014/580605
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