Results 71 to 80 of about 3,706 (120)
Refinement of the Jensen integral inequality
Open Mathematics, 2016 In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru +2 more
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Journal of Mathematical Analysis and Applications, 2013 We develop a new framework for the Jensen-type inequalities that allows us to deal with functions not necessarily convex and Borel measures not necessarily positive.
Niculescu, Constantin P. +1 more
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The Jensen-Steffensen inequality [PDF]
Mathematical Inequalities & Applications, 1998 New proofs of the Jensen-Steffensen and its inverse inequality given by the reviewer are presented.
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Bellman–Steffensen type inequalities
Journal of Inequalities and Applications, 2018 In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained.
Julije Jakšetić +2 more
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A generalized Jensen’s inequality [PDF]
Pacific Journal of Mathematics, 1975 To, Ting On, Yip, Kai Wing
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Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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A uinivariate extension of Jensens inequality
Journal of Research of the National Bureau of Standards, 1980 The result in this paper explains some of the qualitative nature of Jensen's inequality. It is shown that the more disperse the distribution of a random variable is, the smaller is the expectation of any concave function of it. This result can be used to show the inadequacy of some current methods of reporting environmental data by using geometric ...
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On Logarithmic Convexity for Differences of Power Means
Journal of Inequalities and Applications, 2007 We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained.
Simic Slavko
doaj
An extension of Chebyshev's inequality and its connection with Jensen's inequality
Journal of Inequalities and Applications, 2001 The aim of this paper is to show that Jensen's Inequality and an extension of Chebyshev's Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the ...
Niculescu Constantinp P
doaj
Intertemporal Asset Pricing Without Consumption Data [PDF]
This paper proposes a new way to generalize the insights of static asset pricing theory to a multi-period setting. The paper uses a loglinear approximation to the budget constraint to substitute out consumption from a standard intertemporal asset pricing
John Y. Campbell
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