Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
ON TWO TIMES DIFFERENTIABLE PREINVEX AND PREQUASIINVEX FUNCTIONS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 950–963
- DOI
- —
Abstract
The main goal of this paper is to establish a new identity forfunctions deÖned on an open invex subset of real numbers. By using thisidentity, the Hˆlder integral inequality and power mean integral inequality, weintroduce some new type integral inequalities for functions whose powers ofsecond derivatives in absolute values are preinvex and prequasiinvex.