On Fractional Integral Inequalities of Riemann Type for Composite Convex Functions and Applications

Miguel Vivas-Cortez, Muzammil Mukhtar, Iram Shabbir, Muhammad Samraiz, Muhammad Yaqoob

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this study, we apply fractional calculus on certain convex functions and derive many novel mean-type inequalities by employing fractional calculus and convexity theory. In order to investigate fractional mean inequalities, we first build an identity in this study. Then, with its help, we derive many mean-type inequalities and estimate the error of HH inequality using a generalized version of RL-fractional integrals and certain classes of convex functions. The results obtained are validated by taking specific functions. Many mean-type inequalities that exist in the literature are generalized by the main results of this study.

Original languageEnglish
JournalFractal and Fractional
StatePublished - 22 Apr 2023

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© 2023 by the authors.

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