New Perturbed Inequalities for Functions Whose Higher Degree Derivatives are Absolutely Continuous

Year 2019, Volume: 7 Issue: 2, 371 - 379, 15.10.2019

Samet Erden

Abstract

We firstly derive inequalities for high order differentiable functions with the property (S) and mappings whose higher derivatives are convex by using the same equality. Also, it is obtained Hermite Hadamard type and Bullen type inequalities for higher order differentiable functions. Then, we establish inequalities for high degree Lipschitzian derivatives via an equality which was presented previous by Erden in [12]. We also examine connection in between inequalities obtained in earlier works and our results. 

Keywords

Absolutely continuous functions, convex functions, Lipschitzian derivatives, Perturbed inequalities

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