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

Authors : Samet Erden

Pages : 371-379

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Publication Date : 2019-10-15

Article Type : Research

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