Results 11 to 20 of about 5,323 (169)
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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Generalizations of the Jensen–Mercer Inequality via Fink’s Identity [PDF]
Mathematics, 2021 We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n ...
Anita Matković
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AIMS Mathematics, 2022 In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of
Fangfang Ma
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New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals [PDF]
Advances in Difference Equations, 2020 In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches.
Saad Ihsan Butt +4 more
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Axioms, 2023 The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs).
Abd-Allah Hyder +2 more
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Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications
Journal of Inequalities and ApplicationsStrongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality.
Slavica Ivelić Bradanović +1 more
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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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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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Hermite–Jensen–Mercer Type Inequalities for Caputo Fractional Derivatives [PDF]
Journal of Function Spaces, 2020 In this article, certain Hermite–Jensen–Mercer type inequalities are proved via Caputo fractional derivatives. We established some new inequalities involving Caputo fractional derivatives, such as Hermite–Jensen–Mercer type inequalities, for differentiable mapping hn whose derivatives in the absolute values are convex.
Jinchao Zhao +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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