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Improvement of Jensen, Jensen-Steffensen's, and Jensen's functionals related inequalities for various types of convexity

open access: yes
In this paper we deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.
openaire   +2 more sources

Kamus Istilah Statistik [PDF]

open access: yes, 1984
Barizi, Barizi   +4 more
core  

Mercer type variants of the Jensen–Steffensen inequality

Rocky Mountain Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Asif R., Rubab, Faiza
exaly   +3 more sources

On the Jensen-Steffensen inequality for generalized convex functions [PDF]

open access: possiblePeriodica Mathematica Hungarica, 2007
Jensen-Steffensen type inequalities for P-convex functions and functions with nondecreasing increments are presented. The obtained results are used to prove a generalization of Čebyšev's inequality and several variants of Hölder's inequality with weights satisfying the conditions as in the Jensen-Steffensen inequality. A few well known inequalities for
Milica Klaricic Bakula   +2 more
exaly   +4 more sources

Converse Jensen–Steffensen inequality

Aequationes Mathematicae, 2011
In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.
Milica Klaricic Bakula   +1 more
exaly   +5 more sources

A Simple Proof of the Jensen-Steffensen Inequality

American Mathematical Monthly, 1984
(1984). A Simple Proof of the Jensen-Steffensen Inequality. The American Mathematical Monthly: Vol. 91, No. 3, pp. 195-196.
exaly   +2 more sources

Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula

Aequationes Mathematicae, 2018
In [Nonlinear Anal., Real World Appl. 7, No. 3, 395--413 (2006; Zbl 1114.26004)], \textit{Q. Sheng} et al. introduced the combined dynamic derivative, also called diamond \(\alpha\)-dynamic derivative \((\alpha\in[0,1])\). Using the delta and nabla derivatives due to \textit{S.
Ammara Nosheen   +2 more
exaly   +3 more sources

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