NEW NTEGRAL INEQUALITIES FOR s-CONVEX FUNCTION IN THE THIRD SENSE
SERAP KEMALI *
Vocational School of Technical Sciences, Akdeniz University, Antalya, Turkey.
BAKI UNAL
Department of Mathematics, Graduate School of Sciences, Akdeniz University, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, some new integral inequalities are obtained for functions whose n-th derivative is s-convex function in the third sense with the help of an integral identity. Then, by putting special conditions in these integral inequalities, new integral inequalities for classical convex functions are obtained.
Keywords: Convex function, s-convex functions in the third sense, Holder integral inequality, power mean integral inequality