Results 161 to 170 of about 30,526 (192)

On a Jensen-Mercer operator inequality [PDF]

Banach Journal of Mathematical Analysis, 2011
We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global upper bound for the Jensen's operator functional, and some properties of the quasi-arithmetic operator ...
Anita Matkovic, Josip E Pečarić
exaly   +6 more sources

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A Note on Generalized Mercer’s Inequality

Bulletin of the Malaysian Mathematical Sciences Society, 2017
We give an integral version and a refinement of M. Niezgoda’s extension of the variant of Jensen’s inequality given by A. McD. Mercer.
Asif R Khan, Josip E Pečarić, Marjan Praljak   +2 more
exaly   +5 more sources

On the Operator Jensen-Mercer Inequality [PDF]

Operator Theory: Advances and Applications, 2021
Mercer inequality for convex functions is a variant of Jensen's inequality, with an operator version that is still valid without operator convexity. This paper is two folded. First, we present a Mercer-type inequality for operators without assuming convexity nor operator convexity. Yet, this form refines the known inequalities in the literature. Second,
Moradi, H. R., Furuichi, S., Sababheh, M.   +2 more
exaly   +3 more sources

POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES

Rocky Mountain Journal of Mathematics, 2023
Let us present some definitions from \((p,q)\)-calculus which are used in this paper.
Bohner, Martin, Budak, Hüseyin, Kara, Hasan   +2 more
openaire   +2 more sources

Mercer and Wu–Srivastava generalisations of Steffensen’s inequality

Applied Mathematics and Computation, 2013
In this paper generalizations of Steffensen's inequality obtained by Pecaric, Mercer and Wu-Srivastava are related. Some of this generalizations are showed to be equivalent and using Wu-Srivastava refinement of Steffensen's inequality refined versions of Pecaric and Mercer's results are obtained. Using Wu-Srivastava sharpened and generalized version of
Josip E Pečarić
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

New Refinements of Jensen-Mercer’s Inequality

Journal of Computational and Theoretical Nanoscience, 2015
Khuram Ali Ali khan, Adem Kiliçman
exaly   +2 more sources

A variant of Jensen’s inequality of Mercer’s type for operators with applications

Linear Algebra and Its Applications, 2006
A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.
Anita Matkovic, Josip E Pečarić
exaly   +4 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

A log-convex approach to Jensen-Mercer inequality

2022
Summary: We obtain some new Jensen-Mercer type inequalities for log-convex functions. Indeed, we establish refinement and reverse for the Jensen-Mercer inequality for log-convex functions. Several new Hermite-Hadamard and Fejér types of inequalities are also presented.
Davarpanah, M., Moradi, H. R.
openaire   +2 more sources