INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS

Ghulam Farid, Ferdous M. O. Tawfiq (), Daniel Breaz () and Luminita-Ioana Cotirla ()
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Ghulam Farid: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Ferdous M. O. Tawfiq: Department of Mathematics, College of Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
Daniel Breaz: Department of Mathematics, “1 Decembrie 1918†University of Alba Iulia, 510009 Alba Iulia, Romania
Luminita-Ioana Cotirla: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-10

Abstract: Riemann–Liouville (RL) fractional integral operators are applied to extend and generalize the classical real world problems. In this paper, we use RL integrals for monotone functions to extend some well-known inequalities. These inequalities are analyzed by generalizing certain conditions. It is noted that for proving Ostrowski and related classical inequalities, there is no need to establish montgomery-type identities.

Keywords: Ostrowski Inequality; Hadamard Inequality; Grüss Inequality; Riemann–Liouville Fractional Integrals (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401474

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