New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications

Abstract

In this paper, some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applications for P.D.F's are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.

Keywords

• Ostrowski inequality
• quasi-convex functions
• Hölder inequality
• Power- mean inequality
• midpoint formula

References

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