NEW INEQUALITIES OF OSTROWSKI'S TYPE FOR <i>S</i>-CONVEX FUNCTIONS IN THE SECOND SENSE WITH APPLICATIONS


Set E., ÖZDEMİR M. E., Sarikaya M. Z.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, sa.1, ss.67-82, 2012 (ESCI) identifier

Özet

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error estimates for the midpoint formula are obtained.