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Fractional
Multiplicative
Ostrowski-Type
Inequalities for
Multiplicative
Differentiable
Convex Functions
Badreddine Meftah (1), Hamid Boulares (2),
Aziz Khan
(3) and
Thabet
Abdeljawad (4)
(1) Department
of Mathematics,
University of 8
May 1945 Guelma,
P.O. Box 401,
24000 Guelma,
Algeria
Email address:
badrimeftah@yahoo.fr
(2) Laboratory of
Analysis and Control
of Differential
Equations ”ACED”,
Faculty MISM,
Department of
Mathematics,
University 8 May
1945 Guelma, Algeria
Email address:
boulareshamid@gmail.com
(3)
Department of
Mathematics and
Sciences, Prince
Sultan University,
P.O. Box
66833, Riyadh 11586,
Saudi Arabia
Email address:
akhan@psu.edu.sa
(4)
Department of
Mathematics and
Sciences, Prince
Sultan University,
P.O. Box
66833, Riyadh 11586,
Saudi Arabia;
Or Department of
Mathematics and
Applied Mathematics,
School of Science
and Technology,
Sefako Makgatho
Health Sciences
University,
Ga-Rankuwa, South
Africa
Email address:
tabdeljawad@psu.edu.sa
Doi :
https://doi.org/10.47013/17.1.7
Cited by :
Jordan J. Math &
Stat.,
17 (1) (2024),
113 - 128
PDF
Received on:
Nov. 6,
2022;
Accepted
on: April 5,
2023
Abstract. In this
manuscript, we
propose a new
fractional
identity for
multiplicative
differentiable
functions, based
on this identity
we prove some
fractional
Ostrowski-type
inequalities for
multiplicative
convex
functions. Some
applications of
the obtained
results are
given.
Keywords: Non-Newtonian
calculus,
Ostrowski
inequality,
multiplicative
convex
functions.
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