Results 71 to 80 of about 264 (118)

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

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   +1 more source

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

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, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir, Yu-Ming Chu   +4 more
doaj   +1 more source

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +1 more source

A Quantum Calculus View of Hermite–Hadamard–Jensen–Mercer Inequalities with Applications [PDF]

, 2022
Bandar Bin‐Mohsin, Mahreen Saba, Muhammad Zakria Javed, Muhammad Uzair Awan, Hüseyin Budak, Kamsing Nonlaopon   +5 more
openalex   +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 “Conticrete” Hermite–Hadamard–Jensen–Mercer Fractional Inequalities [PDF]

, 2022
Shah Faisal, Muhammad Adil Khan, Tahir Ullah Khan, Tareq Saeed, Ahmed Alshehri, Eze R. Nwaeze   +5 more
openalex   +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

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