TY - JOUR
T1 - Modified Inequalities on Center-Radius Order Interval-Valued Functions Pertaining to Riemann–Liouville Fractional Integrals
AU - Sahoo, Soubhagya Kumar
AU - Al-Sarairah, Eman
AU - Mohammed, Pshtiwan Othman
AU - Tariq, Muhammad
AU - Nonlaopon, Kamsing
N1 - Funding Information:
This work was supported by the National Science, Research, and Innovation Fund (NSRF), Thailand.
Publisher Copyright:
© 2022 by the authors.
PY - 2022/12
Y1 - 2022/12
N2 - In this paper, we shall discuss a newly introduced concept of center-radius total-ordered relations between two intervals. Here, we address the Hermite–Hadamard-, Fejér- and Pachpatte-type inequalities by considering interval-valued Riemann–Liouville fractional integrals. Interval-valued fractional inequalities for a new class of preinvexity, i.e., (Formula presented.) -h-preinvexity, are estimated. The fractional operator is used for the first time to prove such inequalities involving center–radius-ordered functions. Some numerical examples are also provided to validate the presented inequalities.
AB - In this paper, we shall discuss a newly introduced concept of center-radius total-ordered relations between two intervals. Here, we address the Hermite–Hadamard-, Fejér- and Pachpatte-type inequalities by considering interval-valued Riemann–Liouville fractional integrals. Interval-valued fractional inequalities for a new class of preinvexity, i.e., (Formula presented.) -h-preinvexity, are estimated. The fractional operator is used for the first time to prove such inequalities involving center–radius-ordered functions. Some numerical examples are also provided to validate the presented inequalities.
KW - center–radius order
KW - Hermite–Hadamard inequalities
KW - interval-valued functions
KW - Riemann–Liouville fractional operator
UR - https://www.scopus.com/pages/publications/85144674687
U2 - 10.3390/axioms11120732
DO - 10.3390/axioms11120732
M3 - Article
AN - SCOPUS:85144674687
SN - 2075-1680
VL - 11
JO - Axioms
JF - Axioms
IS - 12
M1 - 732
ER -