Results 11 to 20 of about 30,421 (194)
Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Journal of Function SpacesThis article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri +3 more
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On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions
Axioms, 2022 In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions.
Ifra Bashir Sial +4 more
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Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments [PDF]
Abstract and Applied Analysis, 2016 In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al.
Asif R. Khan, Sumayyah Saadi
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New estimates on generalized Hermite–Hadamard–Mercer-type inequalities
Boundary Value ProblemsThe concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız +4 more
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Disaster risk reduction and Evangelical Christianity: a case for pluriversality in practice. [PDF]
DisastersAbstract As climate change increases the probability and intensity of major disasters, urgent action is required to prepare for and address the underlying causes of disaster. The disaster risk reduction (DRR) framework was adopted to focus national and international attention on the social production of vulnerability to disaster risk, yet it faces ...
Watson SD.
europepmc +2 more sources
On quantum Hermite-Jensen-Mercer inequalities
Miskolc Mathematical Notes, 2023 A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15].
Budak, Hüseyin, Kara, Hasan
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A causal inference framework to compare the effectiveness of life-sustaining ICU therapies-using the example of cancer patients with sepsis. [PDF]
Int J CancerWhat's new? Rising cancer incidence in the United States is associated with an increased demand on intensive care units (ICUs). Critically ill cancer patients, however, often rely on life‐sustaining therapies, which are linked to greater ICU mortality.
Matos J +6 more
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FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS
Fractals, 2022 Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard–Mercer-type inequalities on fractal sets [Formula: see text]
Butt, Saad Ihsan +4 more
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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 ...
Ivelic, A., Matkovic, A., Pecaric, J. E.
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On the Operator Jensen-Mercer Inequality [PDF]
, 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. +2 more
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