New integral inequalities using exponential type convex functions with applications

Jian Wang; Saad Ihsan But; Artion Kashuri; Muhammad Tariq; Jian Wang; Saad Ihsan But; Artion Kashuri; Muhammad Tariq

doi:10.3934/math.2021446

AIMS Mathematics

2021, Volume 6, Issue 7: 7684-7703. doi: 10.3934/math.2021446

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Research article

New integral inequalities using exponential type convex functions with applications

1.
Department of Basic, Quzhou College of Technology, Quzhou 324000, China
2.
College of Teacher Education, Zhejiang Normal University, Jinhua 321004, China
3.
Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
4.
Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Vlora 9400, Albania
5.
Mehran University of Engineering and Technology, Jamshoro, Pakistan

Received: 29 January 2021 Accepted: 28 April 2021 Published: 13 May 2021
MSC : 26A51, 26A33, 26D07, 26D10, 26D15

In this paper, we establish some new Hermite-Hadamard type inequalities for differential exponential type convex functions and discuss several special cases. Moreover, in order to give the efficient of our main results, some applications for special means and error estimations are obtain.
- Hermite-Hadamard inequality,
- power mean inequality,
- convexity,
- exponential type convexity,
- special means,
- error estimation
Citation: Jian Wang, Saad Ihsan But, Artion Kashuri, Muhammad Tariq. New integral inequalities using exponential type convex functions with applications[J]. AIMS Mathematics, 2021, 6(7): 7684-7703. doi: 10.3934/math.2021446

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Abstract

In this paper, we establish some new Hermite-Hadamard type inequalities for differential exponential type convex functions and discuss several special cases. Moreover, in order to give the efficient of our main results, some applications for special means and error estimations are obtain.

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