Hermite–Hadamard inequalities for generalized σ− conformable integrals generated by co-ordinated functions

SE Çi̇ri̇ş, H Yildirim - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we define generalized σ− conformable fractional integrals on co-ordinated
functions and generalized σ− conformable fractional integrals for the functions of two …

A new class of fractional inequalities through the convexity concept and enlarged Riemann–Liouville integrals

AA Hyder, MA Barakat, AH Soliman - Journal of Inequalities and …, 2023 - Springer
Fractional inequalities play a crucial role in building mathematical mechanisms and their
related solution functions across the majority of practical science domains. A variety of …

New fractional inequalities through convex functions and comprehensive Riemann–Liouville Integrals

AA Hyder - Journal of Mathematics, 2023 - Wiley Online Library
In most fields of applied sciences, inequalities are important in constructing mathematical
systems and associated solution functions. Convexity also has a significant impact on an …

Ostrowski type inequalities via some exponentially s-preinvex functions on time scales with applications

KK Lai, SK Mishra, V Singh - Symmetry, 2023 - mdpi.com
Integral inequalities concerned with convexity have many applications in several fields of
mathematics in which symmetry plays an important role. In the theory of convexity, there …

On the generalization of Hermite-Hadamard type inequalities for E-convex function via fractional integrals

MS Talha, T Abbas, Z Li, A Rebey, A Ahmed, S Anjum - Heliyon, 2024 - cell.com
The main motivation in this article is to prove new integral identities and related results. In
this paper, we deal with E-convex function, Hermite-Hadamard type inequalities, and …

[HTML][HTML] Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

AA Almoneef, AA Hyder, MA Barakat, H Budak - Fractal and Fractional, 2024 - mdpi.com
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized
fractional integrals (FITs) are presented. We provide a useful identity for differentiable …

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

MGA Alshehri, AA Hyder, H Budak… - Journal of Function …, 2024 - Wiley Online Library
This article's objective is to introduce a new double inequality based on the Jensen–Mercer
(JM) inequality, known as the Hermite–Hadamard–Mercer inequality. We use the (JM) …

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals

ME Kiriş, M Vivas-Cortez, TY Uzun, G Bayrak… - Boundary Value …, 2024 - Springer
In the current research, some midpoint-type inequalities are generalized for co-ordinated
convex functions with the help of generalized conformable fractional integrals. Moreover …

RESULTS ON THE HADAMARD-SIMPSON'S INEQUALITIES

AAJ Husien - Nonlinear Functional Analysis and Applications, 2024 - nfaa.kyungnam.ac.kr
It is well known that inequalities enable us to analyze and solve complex problemswith
precision and efficiency. The inequalities provide powerful tools for establishing bounds …

[PDF][PDF] Midpoint Type Inequalities Based on Conformable Fractional Integrals for 𝒔-Convex Mappings

G BAYRAK, ME KİRİŞ, MK YILDIZ, H BUDAK… - … SCIENCES BOOK OF …, 2022 - ic-mrs.org
In the current research, some midpoint-type inequalities are acquired via 𝑠-convex
mappings with the aid of conformable fractional integrals. Some studies in the literature have …