Results 21 to 30 of about 250 (112)

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   +2 more sources

Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators

Boundary Value Problems
In this paper, we first prove a generalized fractional version of Hermite-Hadamard-Mercer type inequalities using h-convex functions by means of ψ-Hilfer fractional integral operators.
Noureddine Azzouz, Bouharket Benaissa, Hüseyin Budak, İzzettin Demir   +3 more
doaj   +4 more sources

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   +3 more sources

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   +2 more sources

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   +2 more sources

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   +2 more sources

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   +2 more sources

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   +2 more sources

Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann‐Liouville Fractional Operator

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann‐Liouville (RL) fractional integral operator, new Hadamard‐type inequalities are proved for exponentially convex functions
Ahmet Ocak Akdemir, Sinan Aslan, Mustafa Ali Dokuyucu, Ercan Çelik, Serena Matucci   +4 more
wiley   +1 more source

Estimations of the Slater Gap via Convexity and Its Applications in Information Theory

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Convexity has played a prodigious role in various areas of science through its properties and behavior. Convexity has booked record developments in the field of mathematical inequalities in the recent few years. The Slater inequality is one of the inequalities which has been acquired with the help of convexity.
Muhammad Adil Khan, Hidayat Ullah, Tareq Saeed, Hamed H. Alsulami, Z. M. M. M. Sayed, Ahmed Mohammed Alshehri, Fahd Jarad   +6 more
wiley   +1 more source