Differentiable Preinvex and Prequasiinvex Functions

Year 2020, , 69 - 77, 22.06.2020

Huriye Kadakal

https://doi.org/10.32323/ujma.649117

Abstract

In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using this identity and the Hölder and Power mean integral inequalities we present new integral inequalities for functions whose powers of derivatives in absolute value are preinvex and prequasiinvex. We should especially mention that the results obtained in special cases coincide with the well-known results in the literature.

Keywords

Invex set, Preinvex function, Prequasiinvex function, Integral inequalities

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