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INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS.

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Názov: INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS.
Autori: FARID, GHULAM1 (AUTHOR) faridphdsms@outlook.com, TAWFIQ, FERDOUS M. O.2 (AUTHOR) ftoufic@ksu.edu.sa, BREAZ, DANIEL3 (AUTHOR) dbreaz@uab.ro, COTIRLA, LUMINITA-IOANA4 (AUTHOR) luminita.cotirla@math.utcluj.ro
Zdroj: Fractals. 2025, Vol. 33 Issue 8, p1-10. 10p.
Predmety: *FRACTIONAL integrals, *MONOTONIC functions, *MATHEMATICAL analysis, *MATHEMATICAL inequalities, *INTEGRAL operators, *GENERALIZATION
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáza: Academic Search Index
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Abstrakt: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. [ABSTRACT FROM AUTHOR]
ISSN:0218348X
DOI:10.1142/S0218348X25401474