TY - JOUR
T1 - Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting
AU - Stojiljković, Vuk
AU - Ramaswamy, Rajagopalan
AU - Ashour Abdelnaby, Ola A.
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2022 by the authors.
PY - 2022/10
Y1 - 2022/10
N2 - In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.
AB - In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.
KW - convex interval-valued functions
KW - fuzzy interval-valued analysis
KW - Hermite–Hadamard inequality
KW - pseudo-order relations
KW - Riemann–Liouville fractional integral operators
UR - http://www.scopus.com/inward/record.url?scp=85139966000&partnerID=8YFLogxK
U2 - 10.3390/math10193491
DO - 10.3390/math10193491
M3 - Article
AN - SCOPUS:85139966000
SN - 2227-7390
VL - 10
JO - Mathematics
JF - Mathematics
IS - 19
M1 - 3491
ER -