TY - JOUR
T1 - Trapezium-type AB−fractional Integral Inequalities Using Generalized Convex and Quasi Φ−Convex Functions
AU - Vivas-Cortez, Miguel
AU - Kashuri, Artion
AU - Hernández, Jorge Eliecer Hernández
N1 - Publisher Copyright:
© 2022 NSP
PY - 2022
Y1 - 2022
N2 - The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.
AB - The Hermite-Hadamard inequality and an identity for AB−fractional integrals are demonstrated in this study using generalized Φ−convex functions. Some Hermite–Hadamard type inequalities are also established using the stated identity and theAB−fractional integral operator. A number of unique examples have been identified.
KW - Ab-fractional integrals
KW - Convexity
KW - Hermite-hadamard inequality
KW - Hölder inequality
KW - Mittag-leffler function
KW - Power mean inequality
UR - http://www.scopus.com/inward/record.url?scp=85123580793&partnerID=8YFLogxK
U2 - 10.18576/pfda/080107
DO - 10.18576/pfda/080107
M3 - Article
AN - SCOPUS:85123580793
SN - 2356-9336
VL - 8
SP - 107
EP - 122
JO - Progress in Fractional Differentiation and Applications
JF - Progress in Fractional Differentiation and Applications
IS - 1
ER -