Results 161 to 170 of about 978 (185)

New Refinements of Jensen-Mercer’s Inequality

Journal of Computational and Theoretical Nanoscience, 2015
M Adil Khan, Khuram Ali Khan
exaly   +2 more sources

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
openaire   +2 more sources

Generalized inequalities of the Mercer type for strongly convex functions

Journal of Inequalities and Special Functions, 2023
A generalization of the Mercer type inequality, for strongly convex functions with modulus $c>0$, is hereby established. Let $\mathfrak{h}:[\delta,\zeta] \rightarrow \mathbb{R}$ be a strongly convex function on the interval $[\delta,\zeta] \subset \mathbb{R}$. Let ${\bf a}=(a_1,….,a_s)$, ${\bf b}=(b_1,….,b_s)$ and ${\bf p}=(p_1,….,p_s)$, where $a_k,
Muhammad Adil Khan, Fayaz Alam, Eze Nwaeze, Sajid Iqbal   +3 more
openaire   +1 more source

Jensen-Mercer inequality

2007
We consider the Jensen-Mercer inequality in various spaces and for several types real valued functions. This also enables us to define a variety of weighted means and to explore their relationships. Besides of the Mercer's variant of Jensen's inequality, we show analogous variant of the Jensen-Steffensen inequality, from which similar variants of some ...
Matković, Anita, Pečarić, Josip
openaire  

Jensen–Mercer Operator Inequalities Involving Superquadratic Functions

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Jensen-Mercer inequality

2006
Izučavana su poopćenja i profinjenja Jensen-Mercerove nejednakosti za raznovrsne klase realnih funkcija, te njihovi analogoni za različite općenitije strukture i prikladne uređaje. Budući da ona omogućuju definiranje više klasa težinskih sredina, proučavani su i međusobni odnosi tih sredina.
openaire  

STRENGTHENED VERSION OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS BASED ON JENSEN–MERCER INEQUALITY

Fractals
This study is chiefly concerned with the application of the harmonically convexity condition to establish a series of novel fractional Hermite–Hadamard–Mercer inequalities via the Jensen–Mercer inequality. In both classical and fractional calculus, the existing Hermite–Hadamard–Mercer inequalities have provided certain bounds. However, these bounds are
FANGFANG SHI, MUHAMMAD AMIR ALI, WEI LIU, DONGDONG GAO   +3 more
openaire   +1 more source

On the Refinement of Jensen-Mercer’s Inequality

Revue d'analyse numérique et de théorie de l'approximation (1992), 2012
In this paper we obtain refinements of Jensen- Mercer’s inequality.
openaire  

Operator Versions of the Jensen-Mercer Inequality

2014
We present several operator versions of the Jensen-Mercer inequality [5]. We extend it to self-adjoint operators on a Hilbert space [2], then to self-adjoint operators and positive linear mappings [3], [4], and finally to continuous fields of operators and unital fields of positive linear mappings [1].
Pečarić, Josip, Matković, Anita
openaire   +1 more source

On q-Hermite–Hadamard–Mercer and midpoint-Mercer inequalities for general convex functions with their computational analysis

International Journal of Geometric Methods in Modern Physics
This paper establishes some new inequalities of Hermite–Hadamard–Mercer type for [Formula: see text]-convex functions in the framework of [Formula: see text]-calculus and classical calculus. Some new [Formula: see text]-midpoint-Mercer type inequalities for the [Formula: see text]-differentiable [Formula: see text]-convex functions are also proved ...
Muhammad Toseef, Zhiyue Zhang, Muhammad Aamir Ali   +2 more
openaire   +1 more source