Fractional Hermite–Hadamard, Newton–Milne, and Convexity Involving Arithmetic–Geometric Mean-Type Inequalities in Hilbert and Mixed-Norm Morrey Spaces ℓ q …

W Afzal, M Abbas, D Breaz, LI Cotîrlă - Fractal & Fractional, 2024 - search.ebscohost.com
Function spaces play a crucial role in the study and application of mathematical inequalities.
They provide a structured framework within which inequalities can be formulated, analyzed …

[PDF][PDF] Bounds of different integral operators in tensorial Hilbert and variable exponent function spaces

W Afzal, M Abbas, OM Alsalami - Mathematics, 2024 - researchgate.net
In dynamical systems, Hilbert spaces provide a useful framework for analyzing and solving
problems because they are able to handle infinitely dimensional spaces. Many dynamical …

Analysis of -superquadratic function and related fractional integral inequalities with applications

D Khan, SI Butt, Y Seol - Journal of Inequalities and Applications, 2024 - Springer
In the present work we establish for the first time a class of (P, m)-superquadratic functions
and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard …

[PDF][PDF] Fractional hermite–hadamard–mercer-type inequalities for interval-valued convex stochastic processes with center-radius order and their related applications in …

AF Shah, S Özcan, M Vivas-Cortez… - Fractal and …, 2024 - researchgate.net
We propose a new definition of the 7-convex stochastic processes (CSP) using center and
radius (CR) order with the notion of interval valued functions (IV CR). By utilizing this …

Some New Fractional Hermite-Hadamard type Inequalities For Generalized Class of Godunova-Levin Functions By Means of Interval Center-Radius Order Relation …

W Afzal, MS Khan, MZ Meetei, M Abbas… - European Journal of …, 2024 - ejpam.com
The purpose of this article is to establish several new forms of Hermite-Hadamard
inequalities by utilizing fractional integral operators via a totally interval midpoint-radius …

Gradient Descent and Twice Differentiable Simpson-Type Inequalities via K-Riemann-Liouville Fractional Operators in Function Spaces

W Afzal, M Abbas, JE Mac, MZ Meetei… - European Journal of …, 2025 - ejpam.com
This paper investigates novel properties of Hilbert spaces through tensor operations and
establishes new bounds for Simpson-type inequalities using fractional integral operators …