On two times differentiable preinvex and prequasiinvex functions
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Date
2019-02-01
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Ankara Üniversitesi Fen Fakültesi
Abstract
The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers. By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.
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Keywords
Hölder integral inequality, Preinvex and prequasiinvex, Invex set