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 A note on Ostrowski type inequalities related to some $s$-convex functions in the second sense Bull. Korean Math. Soc. 2012 Vol. 49, No. 4, 775-785 https://doi.org/10.4134/BKMS.2012.49.4.775Published online July 1, 2012 Zheng Liu University of Science and Technology Liaoning 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\"older inequality, averaged midpoint-trapezoid inequality MSC numbers : 26D15 Downloads: Full-text PDF