# Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals

@article{Ahmad2016HermiteHadamardHD, title={Hermite-Hadamard, Hermite-Hadamard-Fej{\'e}r, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals}, author={Bashir Ahmad and Ahmed Alsaedi and Mokhtar Kirane and Berikbol T. Torebek}, journal={J. Comput. Appl. Math.}, year={2016}, volume={353}, pages={120-129} }

## 54 Citations

### Fejér–Pachpatte–Mercer-Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

- MathematicsMathematical Problems in Engineering
- 2022

In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite–Hadamard–Mercer-type…

### Certain midpoint-type Fejér and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel

- MathematicsAIMS Mathematics
- 2022

In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the…

### Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions

- MathematicsAIMS Mathematics
- 2021

In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and…

### New Generalized Riemann–Liouville Fractional Integral Versions of Hadamard and Fejér–Hadamard Inequalities

- MathematicsJournal of Mathematics
- 2022

In this paper, a new class of functions, namely, exponentially
α
,
h
−
m
−
p
-convex functions is introduced to unify various classes of functions already defined in the subject…

### Hermite–Hadamard-Type Inequalities for h-Convex Functions Involving New Fractional Integral Operators with Exponential Kernel

- MathematicsFractal and Fractional
- 2022

In this paper, we use two new fractional integral operators with exponential kernel about the midpoint of the interval to construct some Hermite–Hadamard type fractional integral inequalities for…

### Interval valued Hadamard-Fejér and Pachpatte Type inequalities pertaining to a new fractional integral operator with exponential kernel

- MathematicsAIMS Mathematics
- 2022

The aim of this research is to combine the concept of inequalities with fractional integral operators, which are the focus of attention due to their properties and frequency of usage. By using a…

### Generalized fractional integral inequalities of Hermite–Hadamard type for harmonically convex functions

- MathematicsAdvances in Difference Equations
- 2020

In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously…

### Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions

- MathematicsJournal of Mathematics
- 2021

In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions,…

### Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions

- Mathematics
- 2020

In this paper, we establish some new Hermite–Hadamard-type inequalities involving ψ-Riemann–Liouville fractional integrals via s-convex functions in the second sense. Meanwhile, we present many…

### HERMITE–HADAMARD TYPE INEQUALITIES FOR OPERATOR (p,h)–CONVEX FUNCTIONS

- Mathematics
- 2020

Motivated by the recent work on convex functions and operator convex functions, we investigate the Hermite-Hadamard inequalities for operator (p,h) -convex functions. We also present the estimates of…

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