Results 61 to 70 of about 252 (113)

A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
doaj   +1 more source

Analysis of P-Superquadraticity and Related Integer and Fractional Order Inequalities with Applications [PDF]

Sahand Communications in Mathematical Analysis
In this manuscript, we consider the concept of {P-} superquadratic functions and explore their key properties. From these properties, we can establish Jensen's, Mercer-Jensen's, and Hermite-Hadamard (H.H) type inequalities for this class of functions ...
Dawood Khan, Saad Butt
doaj   +1 more source

New variants of the Hermite–Hadamard–Mercer type estimates involving the Beta function with numerical analysis

Boundary Value Problems
A refined form of the Jensen–Mercer inequality has recently been introduced in the literature. Utilizing this improved inequality, we derive several new variants of the Hermite–Hadamard–Mercer type inequality, along with related estimates involving the ...
Eze R. Nwaeze
doaj   +1 more source

Harmonic conformable refinements of Hermite-Hadamard Mercer inequalities by support line and related applications

Mathematical and Computer Modelling of Dynamical Systems
We establish new conformable fractional Hermite-Hadamard (H–H) Mercer type inequalities for harmonically convex functions using the concept of support line.
Saad Ihsan Butt, Miguel Vivas-Cortez, Hira Inam   +2 more
doaj   +1 more source

Hermite–Hadamard-Mercer Type Inequalities for Interval-Valued Coordinated Convex Functions

Axioms
Determining the Jensen–Mercer inequality for interval-valued coordinated convex functions has been a challenging task for researchers in the fields of inequalities and interval analysis.
Muhammad Toseef, Iram Javed, Muhammad Aamir Ali, Loredana Ciurdariu   +3 more
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators

Fractal and Fractional
As the most important inequality, the Hermite–Hadamard–Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years.
Çetin Yildiz, Tevfik İşleyen, Luminiţa-Ioana Cotîrlă   +2 more
doaj   +1 more source

A New Inclusion on Inequalities of the Hermite–Hadamard–Mercer Type for Three-Times Differentiable Functions

Mathematics
The goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 B.C.--2017) and another new proof

, 2018
In this article, we provide a comprehensive historical survey of 183 different proofs of famous Euclid's theorem on the infinitude of prime numbers.
Meštrović, Romeo
core  

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source