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

Title & Authors
A NOTE ON OSTROWSKI TYPE INEQUALITIES RELATED TO SOME s-CONVEX FUNCTIONS IN THE SECOND SENSE
Liu, Zheng;

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$\small{\ddot{o}}$lder inequality;averaged midpoint-trapezoid inequality;
Language
English
Cited by
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INEQUALITIES FOR THE RIEMANN-STIELTJES INTEGRAL OF PRODUCT INTEGRATORS WITH APPLICATIONS, Journal of the Korean Mathematical Society, 2014, 51, 4, 791
4.
Remarks on some inequalities for s-convex functions and applications, Journal of Inequalities and Applications, 2015, 2015, 1
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On new general integral inequalities for s-convex functions, Applied Mathematics and Computation, 2014, 246, 306
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