Some new integral inequalities for n-times differentiable log-convex functions

Abstract

Abstract:In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable log-convex functions.

Some new integral inequalities for N-times differentiable R-convex and R-concave functions

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“…(b − a) f (n) b m m MRemark. If we take m = 1 in Corollary 3, then the results coincide with[12]. Under the conditions Theorem 2 for m = 1 we have the following inequality.n−k f (k) (b) b k+1 − f (k) (a) a k+1 (k + 1)!…”

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