Results 71 to 80 of about 250 (112)

Improvements of Hermite-Hadamard-Mercer inequality using k-fractional integral

An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
The well-known Hermite-Hadamard inequality has attracted the attention of several researchers due to the fact that Hermite-Hadamard inequality has many important applications in mathematics as well as in other areas of science. In this article, the authors present new Hermite-Hadamard inequality of the Mercer type containing Riemann-Liouville k ...
Jamroz Khan, Muhammad Adil Khan, Sana Sarwar   +2 more
openaire   +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

Hermite-Jensen-Mercer type inequalities via Ψ-Riemann-Liouville k-fractional integrals

AIMS Mathematics, 2020
Integral inequalities involving various fractional integral operators are used to solve many fractional differential equations. In this paper, authors prove some Hermite-Jensen-Mercer type inequalities using Ψ-Riemann-Liouville k-Fractional integrals via
Saad Ihsan Butt, Artion Kashuri, Muhammad Umar, Adnan Aslam, Wei Gao   +4 more
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

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

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

The Hermite-Hadamard Type Inequality of GA-Convex Functions and Its Application [PDF]

, 2010
We established a new Hermit-Hadamard type inequality for GA-convex functions.
Xiao-Hui Zhang, Xiao-Ming Zhang, Yu-Ming Chu   +2 more
core   +2 more sources

Una Variante de la desigualdad de Jensen-Mercer para funciones $h-$convexas y funciones de operadores $h-$convexas. [PDF]

, 2017
In the present paper, we have find some new inequalities related to the wellknown Jensen-Mercer Inequality, and its corresponding application to thetheory of Operators, using $h-$convex functions and operator $h-$convexfunctions. These results generalize
Hernández Hernández, Jorge Eliecer, Vivas Cortez, Miguel Jose   +1 more
core   +1 more source

On some inequalities for relative semi-convex functions [PDF]

, 2013
Khalida Noor, Muhammad Awan, Muhammad Noor   +2 more
core   +4 more sources

New fractional refinements of harmonic Hermite-Hadamard-Mercer type inequalities via support line

Filomat
In this research, we first provide new and refined fractional integral Mercer inequalities for harmonic convex functions by deploying the idea of line of support. Thus, these refinements allow us to develop new extensions for integral inequalities pertaining harmonic convex functions.
S.I. Butt, H. Inam
openaire   +1 more source