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DOI: 10.23952/cot.2017.31
Received July 5, 2017; Accepted October 13, 2017; Published October 20, 2017
Abstract. In this paper, we introduce a new classes of generalized -preinvex Godunova-Levin functions of the second kind. Some characterization theorems and some new integral inequalities for the left-hand side of the Gauss-Jacobi type quadrature formula involving generalized -preinvex Godunova-Levin functions of the second kind along with the beta function are established. Some extensions integral inequalities involving generalized -preinvex functions are also given.
How to Cite this Article:
Artion Kashuri, Rozana Liko, Some new integral inequalities for the generalized -preinvex Godunova-Levin functions of the second kind, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 31, pp. 1-15.