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Inequalities for the normalized Jensen functional with applications

In: Mathematica Slovaca, vol. 66, no. 1
Hossein Dehghan
Detaily:
Rok, strany: 2016, 119 - 126
Kľúčové slová:
Jensen's inequality, convex function, triangle inequality
O článku:
In this paper we present some new inequalities for the normalized Jensen functional which will much improve the famous Jensen's inequality. We also give some applications in Analysis and Information Theory. Our results refine and generalize the corresponding ones announced in [DRAGOMIR, S. S.: Bounds for the normalised Jensen functional, Bull. Aust. Math. Soc. 74 (2006), 471–478] and MITANI, K. I. et al.: On sharp triangle inequalities in Banach spaces, J. Math. Anal. Appl. 336 (2007), 1178–1186].
Ako citovať:
ISO 690:
Dehghan, H. 2016. Inequalities for the normalized Jensen functional with applications. In Mathematica Slovaca, vol. 66, no.1, pp. 119-126. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0121

APA:
Dehghan, H. (2016). Inequalities for the normalized Jensen functional with applications. Mathematica Slovaca, 66(1), 119-126. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0121
O vydaní:
Publikované: 1. 2. 2016