Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense

Abstract

In this paper, some Ostrowski's inequalities for functions whose first derivatives are s-logarithmically preinvex in the second sense are established.2010 Mathematics Subject Classification. Primary: 26D10; Secondary: 26D15, 26A51. Key words and phrases. Ostrowski inequality, midpoint inequality, Hölder inequality, power mean integral inequality.Full paper. 12Ostrowski's inequalities for functions whose first derivatives. . . Meftah[8] established the following Ostrowski's inequality for functions whose derivative are log-preinvex. ([a, a + η (b, a)]) and f (a) = 0. If |f | is logarithmically preinvex function, then the following inequality holds: