Results 21 to 30 of about 813,258 (169)
On quantum Hermite-Jensen-Mercer inequalities [PDF]
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
openaire +3 more sources
On a variant of Čebyšev’s inequality of the Mercer type
Journal of Inequalities and Applications, 2020 We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
doaj +2 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,
Mohammad Sababheh
exaly +3 more sources
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 Pecaric
exaly +6 more sources
Journal of Inequalities and Applications, 2022 In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt +3 more
doaj +2 more sources
New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function [PDF]
Journal of Function Spaces, 2021 In 2003, Mercer presented an interesting variation of Jensen’s inequality called Jensen–Mercer inequality for convex function. In the present paper, by employing harmonically convex function, we introduce analogous versions of Hermite–Hadamard ...
Saad Ihsan Butt +4 more
doaj +2 more sources
New “Conticrete” Hermite–Hadamard–Jensen–Mercer Fractional Inequalities [PDF]
Symmetry, 2022 The theory of symmetry has a significant influence in many research areas of mathematics. The class of symmetric functions has wide connections with other classes of functions. Among these, one is the class of convex functions, which has deep relations with the concept of symmetry.
Muhammad Adil Khan +2 more
exaly +2 more sources
Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial [PDF]
Mathematical Inequalities & Applications, 2019 We present generalizations of the Jensen .Mercer inequality for the class of n -convex functions. The results arc obtained by using Taylor's polynomial and four types of Green's functions.
Matkovic A., Pecaric J.
openaire +4 more sources
New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
doaj +2 more sources
Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
doaj +2 more sources