Results 41 to 50 of about 513,843 (110)

On Some New AB-Fractional Inclusion Relations

Fractal and Fractional, 2023
The theory of integral inequality has gained considerable attention due to its influential impact on several fields of mathematics and applied sciences. Over the years, numerous refinements, generalizations, and extensions of convexity have been explored
Bandar Bin-Mohsin, Muhammad Zakria Javed, Muhammad Uzair Awan, Artion Kashuri   +3 more
doaj   +1 more source

Some Companions of Fejér's Inequality for Convex Functions [PDF]

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +3 more sources

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

Some Companions of Fejér Type Inequalities Using GA-Convex Functions

Mathematics, 2023
In this paper, we present some new and novel mappings defined over 0,1 with the help of GA-convex functions. As a consequence, we obtain companions of Fejér-type inequalities for GA-convex functions with the help of these mappings, which provide ...
Muhammad Amer Latif
doaj   +1 more source

Weighted Integral Inequalities for Harmonic Convex Functions in Connection with Fejér’s Result

Axioms, 2022
In this study, on the subject of harmonic convex functions, we introduce some new functionals linked with weighted integral inequalities for harmonic convex functions. In addition, certain new inequalities of the Fejér type are discovered.
Muhammad Amer Latif
doaj   +1 more source

On Hermite–Hadamard–Fejér Inequalities Within Postquantum Coordinate Frameworks

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate new forms of Hermite–Hadamard–Fejér type inequalities on the coordinates within the framework of postquantum (p,q)‐calculus. By extending the classical Hermite–Hadamard–Fejér inequalities to the setting of coordinated convex functions, we establish several novel integral inequalities involving (p,q)‐derivatives and (p,q ...
Jen Chieh Lo, Lei Su
wiley   +1 more source

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene, Gopi Prasad   +4 more
wiley   +1 more source

On the Theory of n‐Polynomial ϕ‐Convex Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces a novel extension of n‐polynomial convex functions, referred to as “n‐polynomial ϕ‐convex functions”. The proposed concept generalizes the existing notion of n‐polynomial convexity introduced in the recent literature. Within this new structural framework, we derive several novel inequalities and show that the absolute derivative ...
Yuanheng Wang, Mehtap Kübra Polat, Ferhat Polat, Çetin Yıldız, Lakhlifa Sadek   +4 more
wiley   +1 more source

LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities

Fractal and Fractional, 2021
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan, Muhammad Aslam Noor, Thabet Abdeljawad, Abd Allah A. Mousa, Bahaaeldin Abdalla, Safar M. Alghamdi   +5 more
doaj   +1 more source

Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems

Open Physics, 2020
The key purpose of this study is to suggest a new fractional extension of Hermite–Hadamard, Hermite–Hadamard–Fejér and Pachpatte-type inequalities for harmonically convex functions with exponential in the kernel.
Rashid Saima, Baleanu Dumitru, Chu Yu-Ming   +2 more
doaj   +1 more source