ON SOME INEQUALITIES OF SIMPSON’S TYPE VIA h−CONVEX FUNCTIONS

Year 2013, Volume: 42 Issue: 4, 309 - 317, 01.04.2013

Mevlüt Tunç Çetin Yıldız Alper Ekinci

Abstract

In this paper, we prove some new inequalities of Simpson’s type for functions whose derivatives of absolute values are h−convex and h−concavefunctions. Some new estimations are obtained. Also we give some sophisticated results for some different kinds of convex functions.

Keywords

h−convex and h−concave functions, Simpson’s Inequality, H¨older Inequality.

ON SOME INEQUALITIES OF SIMPSON’S TYPE VIA h−CONVEX FUNCTIONS

Abstract

References

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