Results 41 to 50 of about 498,881 (101)

New Variant of Hermite–Hadamard, Fejér and Pachpatte-Type Inequality and Its Refinements Pertaining to Fractional Integral Operator

Fractal and Fractional, 2023
In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional operators are used to simulate a broad range of scientific as well as engineering phenomena such as elasticity, viscous fluid,
Muhammad Tariq, Sotiris K. Ntouyas, Asif Ali Shaikh   +2 more
doaj   +1 more source

Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions

Fractal and Fractional, 2022
The theory of convex and nonconvex mapping has a lot of applications in the field of applied mathematics and engineering. The Riemann integrals are the most significant operator of interval theory, which permits the generalization of the classical theory
Muhammad Bilal Khan, Adriana Cătaş, Omar Mutab Alsalami   +2 more
doaj   +1 more source

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application

Journal of Function Spaces, 2019
Some authors introduced the concepts of the harmonically arithmetic convex functions and establish some integral inequalities of Hermite Hadamard Fejér type related to the harmonically arithmetic convex functions.
Sercan Turhan
doaj   +1 more source

Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω₁,ω₂-Preinvex Functions

Axioms, 2022
In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator ω1,ω2-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator ω1,ω2-preinvex ...
Sikander Mehmood, Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Fiza Zafar, Kamsing Nonlaopon   +5 more
doaj   +1 more source

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +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

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

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

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