Results 41 to 50 of about 3,706 (120)

On Logarithmic Convexity for Differences of Power Means

Journal of Inequalities and Applications, 2008
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.
Slavko Simic
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Comments on Jensen’s Inequalities

Malaya Journal of Matematik, 2014
The paper gives generalizations of some Jensen type inequalities for convex functions of one variable. The work is based on the methods which use convex combinations in deriving inequalities. The main inequality is applied to the quasi-arithmetic means.
openaire   +3 more sources

Functions Like Convex Functions

Journal of Function Spaces, 2015
The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center,
Zlatko Pavić
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Refinements of Jensen's inequality and applications

AIMS Mathematics, 2022
The principal aim of this research work is to establish refinements of the integral Jensen's inequality. For the intended refinements, we mainly use the notion of convexity and the concept of majorization.
Tareq Saeed , Muhammad Adil Khan, Hidayat Ullah   +2 more
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Improvements of the integral Jensen inequality through the treatment of the concept of convexity of thrice differential functions

AIMS Mathematics
Jensen's inequality, with its broad applications across various fields, presents an important subject for investigation and research. In this article, we introduce novel enhancements to Jensen's inequality by utilizing the convexity properties of a ...
Asadullah Sohail, Muhammad Adil Khan, Xiaoye Ding, Mohamed Sharaf, Mohammed A. El-Meligy   +4 more
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Hardy martingales and Jensen's inequality [PDF]

, 2011
The final version of this paper appears in: "Bulletin of the Australian Mathematical Society" 55 (1997): 185-195. Print.Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus TN, where analyticity is ...
Asmar, Nakhlé H., Montgomery-Smith, Stephen, 1963-   +1 more
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Jensen-Feynman approach to the statistics of interacting electrons

, 2009
Faussurier et al. [Phys. Rev. E 65, 016403 (2001)] proposed to use a variational principle relying on Jensen-Feynman (or Gibbs-Bogoliubov) inequality in order to optimize the accounting for two-particle interactions in the calculation of canonical ...
Franck Gilleron, Gérald Faussurier, Jean-Christophe Pain, N. N. Bogoliubov, R. P. Feynman   +4 more
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New bounds for Shannon, Relative and Mandelbrot entropies via Hermite interpolating polynomial

Demonstratio Mathematica, 2018
To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf-Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, biology
Mehmood Nasir, Butt Saad Ihsan, Pečarić Ðilda, Pečarić Josip   +3 more
doaj   +1 more source

An approach for metric space with a convex combination operation and applications

, 2015
In this paper, we embed metric space endowed with a convex combination operation, named convex combination space, into a Banach space and the embedding preserves the structures of metric and convex combination.
Thuan, Nguyen Tran
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Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
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