Abstract
In this paper, the idea of exponential type p–convex function and its algebraic properties have been investigated.The authors proved new trapezium type inequality for this new class of functions and derived many refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power is exponential type p–convex. Finally, some new bounds for special means of different positive real numbers are provided as well. The findings show some generalizations of the known results.
| Original language | English |
|---|---|
| Pages (from-to) | 253-261 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - 11 Mar 2021 |
Bibliographical note
Publisher Copyright:© 2021
Funding
received his Ph.D. degree in mathematics from the Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan. He is currently an Assistant Professor in COMSATS University Islamabad, Lahore Campus since 2014. During his studies, he was funded by the Higher Education Commission of Pakistan. He has published over 80 research articles in different international journals. His research interests are Integral inequalities, Information Inequalities, Functional Analysis, and Real Analysis.
| Funders | Funder number |
|---|---|
| Higher Education Commision, Pakistan |
Keywords
- Convexity
- Exponential type convexity
- Hermite–Hadamard inequality