Manara - Qatar Research Repository
Browse
10.1186_s13660-023-02952-y.pdf (1.3 MB)

Some new integral inequalities for higher-order strongly exponentially convex functions

Download (1.3 MB)
journal contribution
submitted on 2024-02-22, 09:35 and posted on 2024-02-22, 09:36 authored by Jaya Bisht, Nidhi Sharma, Shashi Kant Mishra, Abdelouahed Hamdi

Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of applications. In this paper, we study the concept of higher-order strongly exponentially convex functions and establish a new Hermite–Hadamard inequality for the class of strongly exponentially convex functions of higher order. Further, we derive some new integral inequalities for Riemann–Liouville fractional integrals via higher-order strongly exponentially convex functions. These findings include several well-known results and newly obtained results as special cases. We believe that the results presented in this paper are novel and will be beneficial in encouraging future research in this field.

Other Information

Published in: Journal of Inequalities and Applications
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: https://dx.doi.org/10.1186/s13660-023-02952-y

Funding

Open Access funding provided by the Qatar National Library.

History

Language

  • English

Publisher

Springer Nature

Publication Year

  • 2023

License statement

This Item is licensed under the Creative Commons Attribution 4.0 International License.

Institution affiliated with

  • Qatar University
  • College of Arts and Sciences - QU