New inequalities via <em>n</em>-polynomial harmonically exponential type convex functions

Wei Gao; Artion Kashuri; Saad Ihsan Butt; Muhammad Tariq; Adnan Aslam; Muhammad Nadeem; Wei Gao; Artion Kashuri; Saad Ihsan Butt; Muhammad Tariq; Adnan Aslam; Muhammad Nadeem

doi:10.3934/math.2020440

AIMS Mathematics

2020, Volume 5, Issue 6: 6856-6873. doi: 10.3934/math.2020440

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Research article

New inequalities via n-polynomial harmonically exponential type convex functions

1.
School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
2.
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlora, Albania
3.
Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
4.
Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore(RCET) 54000, Pakistan

Received: 11 June 2020 Accepted: 25 August 2020 Published: 04 September 2020
MSC : 26A51, 26A33, 26D07, 26D10, 26D15

In this work we introduced a new class of functions called n-polynomial harmonically exponential type convex and study some of their algebraic properties. Several new inequalities via n-polynomial harmonically exponential type convexity are established. Some special cases for suitable choices of parameters are given in details.
- Hermite-Hadamard inequality; Hölder’s inequality; harmonically convexity; n-polynomial harmonically convexity
Citation: Wei Gao, Artion Kashuri, Saad Ihsan Butt, Muhammad Tariq, Adnan Aslam, Muhammad Nadeem. New inequalities via n-polynomial harmonically exponential type convex functions[J]. AIMS Mathematics, 2020, 5(6): 6856-6873. doi: 10.3934/math.2020440

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Abstract

In this work we introduced a new class of functions called n-polynomial harmonically exponential type convex and study some of their algebraic properties. Several new inequalities via n-polynomial harmonically exponential type convexity are established. Some special cases for suitable choices of parameters are given in details.

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