Results 11 to 20 of about 586 (111)

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   +3 more sources

Generalized Jensen-Steffensen and related inequalities [PDF]

Journal of Mathematical Inequalities, 2015
We introduce a new tool for comparing two linear functionals that are positive on convex functions. We generalize Jensen-Steffensen and related inequalities.
Jakšetić, Julije, Pečarić, Josip, Praljak, Marjan   +2 more
core   +3 more sources

Integral Inequalities Involving Strongly Convex Functions

Journal of Function Spaces, 2018
We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song, Muhammad Adil Khan, Syed Zaheer Ullah, Yu-Ming Chu   +3 more
doaj   +2 more sources

Improvement of Jensen--Steffensen's inequality for superquadratic functions

Banach Journal of Mathematical Analysis, 2010
In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements ...
Shoshana Abramovich, Josip E Pečarić
exaly   +6 more sources

On some conversions of the Jensen-Steffensen inequality [PDF]

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2013
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying exp-convex method improvements and reverses of the Slater-Pečarić inequality are obtained.
Josip Pečarić, Slavica Ivelić
core   +5 more sources

New Upper Bounds for the Weighted Chebyshev Functional [PDF]

Annales Mathematicae Silesianae
New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.
Bakula Milica Klaričić, Pečarić Josip   +1 more
doaj   +3 more sources

A companion to Jensen-Steffensen's inequality

Journal of Approximation Theory, 1985
Suppose that f is a convex function on (a,b).
Josip E Pečarić
exaly   +2 more sources

A variant of Jensen–Steffensen's inequality and quasi-arithmetic means

Journal of Mathematical Analysis and Applications, 2005
A variant of Jensen-Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen-Steffensen's inequality are established. Several inequalities involving more than two monotonic functions and generalized quasi-arithmetic means with not only positive weights are proved.
Milica Klaricic Bakula, Josip E Pečarić   +1 more
exaly   +4 more sources

Jensen-Steffensen type inequality for integrals with respect to bi-capacities [PDF]

, 2021
Bipolarni pan integral, kao novi tip integrala baziranog na fazi bi- merama je prikazan u okviru disertacije. Pored toga, u okviru ove disertacije prikazana je Jensenova nejednakost za: diskretni bipolarni pseudo-integral, novi bipolarni Šokeov g ...
Todorov, Miloš
core   +6 more sources

Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theorem

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic, Josip Pecaric, Ana Vukelic   +2 more
doaj   +5 more sources