TY - JOUR
T1 - Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions
AU - Xu, Wenbo
AU - Imran, Muhammad
AU - Yasin, Faisal
AU - Jahangir, Nazia
AU - Xia, Qunli
N1 - Publisher Copyright:
© 2022 Wenbo Xu et al.
PY - 2022
Y1 - 2022
N2 - In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators.
AB - In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators.
UR - http://www.scopus.com/inward/record.url?scp=85135295566&partnerID=8YFLogxK
U2 - 10.1155/2022/7361558
DO - 10.1155/2022/7361558
M3 - Article
AN - SCOPUS:85135295566
SN - 2314-8896
VL - 2022
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 7361558
ER -