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Mishra, Shashi Kant
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Earth & Planetary Sciences Environmental Science Materials Science & Nanotechnology Mathematics Physics

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Extension of Hermite-Hadamard type inequalities to Katugampola fractional integrals Das, Dipak Kr; Mishra, Shashi Kant; Kumar, Pankaj; Hamdi, Abdelouahed
International Journal of Advances in Applied Sciences Vol 15, No 1: March 2026
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijaas.v15.i1.pp1-18

Abstract

In this study, we introduce several new Hermite-Hadamard type general integral inequalities for exponentially (s,m)-convex functions via Katugampola fractional integral. The Katugampola fractional integral is a broader form of the Riemann–Liouville and Hadamard fractional integrals. We utilized the power mean integral inequality, the H¨older inequality and a few additional generalizations to derive these inequalities. Numerous limiting results are derived from the main results presented in the remarks. Furthermore, we provide an example illustrating our theoretical findings, supported by a graphical representation.
Co-Authors Das, Dipak Kr Hamdi, Abdelouahed Kumar, Pankaj