Results 81 to 90 of about 5,199 (174)

A Comprehensive Analysis of Hermite–Hadamard Type Inequalities via Generalized Preinvex Functions [PDF]

, 2021
Muhammad Tariq, Hijaz Ahmad, Hüseyin Budak, Soubhagya Kumar Sahoo, Thanin Sitthiwirattham, Jiraporn Reunsumrit   +5 more
openalex   +1 more source

A Fractal Approach to Hermite–Hadamard Type Inequalities via Generalized Beta Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The main aim of this manuscript is to explore the connection between fractal geometry and convexity, highlighting the mathematical appeal of fractals. Using the beta function, we introduce a new class of generalized Hermite–Hadamard (HH) type inequalities.
Saad Ihsan Butt, Muhammad Mehtab, Youngsoo Seol, Mohammad W. Alomari   +3 more
wiley   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan, Waqar Afzal, Mujahid Abbas, Kwara Nantomah, Ding-Xuan Zhou   +4 more
wiley   +1 more source

Some Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions [PDF]

, 2022
Gabriel Santana, Maira Valera
openalex   +1 more source

On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef, Abd-Allah Hyder, Fatih Hezenci, Hüseyin Budak, Pramita Mishra   +4 more
wiley   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam, Omid Pourbahri Rahpeyma, Davood Ebrahimi Bagha, Pramita Mishra   +3 more
wiley   +1 more source

Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Mathematics, 2019
In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
doaj   +1 more source

On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel [PDF]

, 2021
Havva Kavurmacı Önalan, Ahmet Ocak Akdemi̇r, Merve Avcı Ardıç, Dumitru Bǎleanu   +3 more
openalex   +1 more source

Generalized Fractional Integral Inequalities of σ‐Convex Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley   +1 more source