Results 11 to 20 of about 185 (156)

New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications

Axioms
In this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly convex
Muhammad Adil Khan, Slavica Ivelic Bradanović, Haitham A Mahmoud   +2 more
exaly   +3 more sources

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces
This 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, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat   +3 more
doaj   +4 more sources

Hermite–Jensen–Mercer type inequalities for conformable integrals and related results [PDF]

Advances in Difference Equations, 2020
In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose ...
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemir, Thabet Abdeljawad   +4 more
doaj   +3 more sources

Generalized Jensen and Jensen–Mercer inequalities for strongly convex functions with applications

Journal of Inequalities and Applications
Strongly 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, Neda Lovričević   +1 more
doaj   +2 more sources

Refining Jensen–Mercer inequality and its applications in probability and statistics

Journal of Inequalities and Applications
This paper focuses on refining the Jensen–Mercer inequality and extending its applications to various important inequalities, including Hölder’s, Ky Fan, and AM-GM inequalities.
Rabia Bibi, Sajid Ali
doaj   +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
openaire   +2 more sources

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

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   +1 more source

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

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, Praveen Agarwal, Saba Yousaf, Juan L. G. Guirao   +3 more
doaj   +1 more source

On some inequalities for uniformly convex mapping with estimations to normal distributions

Journal of Inequalities and Applications, 2023
In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly convex functions. We explore some interesting properties of such a class of functions along with some examples.
Saad Ihsan Butt, Yamin Sayyari, Praveen Agarwal, Juan J. Nieto, Muhammad Umar   +4 more
doaj   +1 more source