Generalized fractional inequalities for quasi-convex functions

S. Ullah, G. Farid, K. A. Khan, A. Waheed, S. Mehmood
2019 Advances in Difference Equations  
The class of quasi-convex functions contain all those finite convex functions which are defined on finite closed intervals of real line. The aim of this paper is to establish the bounds of the sum of left and right fractional integral operators using quasi-convex functions. An identity is formulated which is used to find Hadamard-type inequalities for quasi-convex functions. Connections with some known results are analyzed. Furthermore, some implications are derived by considering some examples
more » ... ering some examples of quasi-convex functions. MSC: 26D15; 26A51; 32F99; 41A17; 33E12
doi:10.1186/s13662-019-1951-5 fatcat:vvmddpw2ybbetl4zg5omd4fxm4