Results 71 to 80 of about 252 (113)

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

Boundary Value Problems
The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız, Samet Erden, Seth Kermausuor, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +4 more
doaj   +1 more source

On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions

Fractal and Fractional
In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator).
Zeynep Çiftci, Merve Coşkun, Çetin Yildiz, Luminiţa-Ioana Cotîrlă, Daniel Breaz   +4 more
doaj   +1 more source

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

Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus

Boundary Value Problems
This study generalizes Hermite–Hadamard–Mercer type inequalities using Riemann–Liouville fractional integrals within the framework of multiplicative calculus.
Abdul Mateen, Zhiyue Zhang, Serap Özcan, Muhammad Aamir Ali   +3 more
doaj   +1 more source

Evolutionary Approach to Inequalities of Hermite–Hadamard–Mercer Type for Generalized Wright’s Functions Associated with Computational Evaluation and Their Applications

Fractal and Fractional
The theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Superquadratic functions and eigenvalue inequalities

, 2023
There exist two major subclasses in the class of superquadratic functions, one contains concave and decreasing functions and the other, contains convex and monotone increasing functions.
Kian, Mohsen
core  

New Perspectives of Hermite–Hadamard–Mercer-Type Inequalities Associated with ψ_k-Raina’s Fractional Integrals for Differentiable Convex Functions

Fractal and Fractional
Starting from ψk-Raina’s fractional integrals (ψk-RFIs), the study obtains a new generalization of the Hermite–Hadamard–Mercer (H-H-M) inequality. Several trapezoid-type inequalities are constructed for functions whose derivatives of orders 1 and 2, in ...
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities

Fractal and Fractional
We prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs).
Asfand Fahad, Zammad Ali, Shigeru Furuichi, Saad Ihsan Butt, Ayesha, Yuanheng Wang   +5 more
doaj   +1 more source

On fractional Bullen-type inequalities with applications [PDF]

Integral inequalities in mathematical interpretations are a substantial and ongoing body of research. Because fractional calculus techniques are widely used in science, a lot of research has recently been done on them.
Jongsuk Ro, Sabir Hussain, Sobia Rafeeq
core   +1 more source