Open AccessFractional trapezium-like inequalities involving generalized relative semi--preinvex mappings on an -invex set
Author(s) -
Tingsong Du,
Chunyan Luo,
Z. Z. Huang,
Artion Kashuri
Publication year - 2020
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v72i12.6036
Subject(s) - mathematics , generalization , differentiable function , set (abstract data type) , inequality , pure mathematics , order (exchange) , identity (music) , mathematical analysis , computer science , physics , finance , acoustics , economics , programming language
UDC 517.5The authors derive a fractional integral equality concerning twice differentiable mappings defined on -invex set. By using this identity, the authors obtain new estimates on generalization of trapezium-like inequalities for mappings whose second order derivatives are generalized relative semi--preinvex via fractional integrals. We also discuss some new special cases which can be deduced from our main results.