New ostrowski-type fractional integral inequalities via generalized exponential-type convex functions and applications

Soubhagya Kumar Sahoo, Muhammad Tariq, Hijaz Ahmad, Jamshed Nasir, Hassen Aydi*, Aiman Mukheimer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Recently, fractional calculus has been the center of attraction for researchers in mathematical sciences because of its basic definitions, properties and applications in tackling real-life problems. The main purpose of this article is to present some fractional integral inequalities of Ostrowski type for a new class of convex mapping. Specifically, n–polynomial exponentially s–convex via fractional operator are established. Additionally, we present a new Hermite–Hadamard fractional integral inequality. Some special cases of the results are discussed as well. Due to the nature of convexity theory, there exists a strong relationship between convexity and symmetry. When working on either of the concepts, it can be applied to the other one as well. Integral inequalities concerned with convexity have a lot of applications in various fields of mathematics in which symmetry has a great part to play. Finally, in applications, some new limits for special means of positive real numbers and midpoint formula are given. These new outcomes yield a few generalizations of the earlier outcomes already published in the literature.

Original languageEnglish
Article number1429
JournalSymmetry
Volume13
Issue number8
DOIs
Publication statusPublished - Aug 2021
Externally publishedYes

Keywords

  • Hölder’s inequality
  • N-polynomial exponentially s-convex function
  • Ostrowski inequality
  • Power mean integral inequality

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