Results 21 to 30 of about 957,990 (310)

The Jensen-Grüss inequality [PDF]

Mathematical Inequalities & Applications, 2002
The Jensen-Gruss inequality is proved, that is conversion of Jensen's inequality related to the well known Gruss inequality.
Pečarić, Josip, Budimir, Ivan
openaire   +3 more sources

On a variant of Čebyšev’s inequality of the Mercer type

Journal of Inequalities and Applications, 2020
We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
doaj   +1 more source

Chebyshev-Steffensen Inequality Involving the Inner Product

Mathematics, 2022
In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula, Josip Pečarić   +1 more
doaj   +1 more source

On the Converse Jensen-Type Inequality for Generalized f-Divergences and Zipf–Mandelbrot Law

Mathematics, 2022
Motivated by some recent investigations about the sharpness of the Jensen inequality, this paper deals with the sharpness of the converse of the Jensen inequality.
Mirna Rodić
doaj   +1 more source

Jensen–Steffensen inequality for strongly convex functions

Journal of Inequalities and Applications, 2018
The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In
M. Klaričić Bakula
doaj   +1 more source

Reducible means and reducible inequalities [PDF]

, 2016
It is well-known that if a real valued function acting on a convex set satisfies the $n$-variable Jensen inequality, for some natural number $n\geq 2$, then, for all $k\in\{1,\dots, n\}$, it fulfills the $k$-variable Jensen inequality as well.
C Gini, C Zǎlinescu, EF Beckenbach, J Aczél, J Matkowski, J Matkowski, JLWV Jensen, J LW V Jensen, K-Ch Chang, L Losonczi, L Losonczi, L Losonczi, L Losonczi, M Bajraktarević, M Bajraktarević, Tibor Kiss, Z Daróczy, Z Daróczy, Z Daróczy, Z Daróczy, Zs Páles, Zs Páles, Zs Páles, Zs Páles, Zs Páles, Zs Páles, Zs Páles, Zs Páles, Zsolt Páles   +28 more
core   +2 more sources

Jensen inequality and the second law [PDF]

, 2019
Jensen's Inequality (JIEQ) has proved to be a major tool to prove the consistency of various fluctuation theorems with the second law in microscopic nonequilibrium thermodynamics.
P. Gujrati
semanticscholar   +1 more source

Jensen–Mercer inequality for GA-convex functions and some related inequalities

Journal of Inequalities and Applications, 2020
In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj   +1 more source

A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications

Journal of Function Spaces, 2022
In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed, Muhammad Adil Khan, Shahid Khan, Josip Pečarić   +3 more
doaj   +1 more source

Nested Inequalities Among Divergence Measures [PDF]

, 2012
In this paper we have considered a single inequality having 11 known divergence measures. This inequality include measures like: Jeffryes-Kullback-Leiber J-divergence, Jensen-Shannon divergence (Burbea-Rao, 1982), arithmetic-geometric mean divergence ...
Taneja, Inder Jeet
core   +1 more source