New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

Abstract

In the paper, we introduce the class of trigonometrically convex functions and using the Hölder, Hölder-Işcan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h-convex functions. Some applications for special means are also given.

Keywords

• Ostrowski inequality
• Hölder-İşcan
• Improved power-mean
• Convex trigometrically

References

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