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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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Detalles Bibliográficos
Autores principales: Bibi, Rabia, Pečarić, Josip, Lipanović, Mirna Rodić
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897212/
https://www.ncbi.nlm.nih.gov/pubmed/27379320
http://dx.doi.org/10.1155/2014/580605