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http://dx.doi.org/10.4134/BKMS.2012.49.4.775

A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE  

Liu, Zheng (Institute of Applied Mathematics School of Science University of Science and Technology Liaoning)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 775-785 More about this Journal
Abstract
Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.
Keywords
Ostrowski type inequality; convex function; s-convex function; H$\ddot{o}$lder inequality; averaged midpoint-trapezoid inequality;
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