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On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space
Journal article   Open access  Peer reviewed

On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space

Manar A. Alqudah, Artion Kashuri, Pshtiwan Othman Mohammed, Muhammad Raees, Thabet Abdeljawad, Matloob Anwar, Y. S. Hamed and Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
AIMS mathematics, Vol.6(5), pp.4638-4663
01/01/2021
DOI: https://doi.org/10.3934/math.2021273

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we propose a new family of interval valued (IV) convex functions termed as generalized modified (p, h)-convex IV functions. We obtain the counterpart of Hermite-Hadamard H . H inequality by extending the IV fractional integral to the IV psi(k)-Riemann-Liouville (psi(k) - RL) fractional integrals. Also, several inequalities using extended operations on the newly defined class of convex IV functions are given.
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https://doi.org/10.3934/math.2021273View
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