NEW WEIGHTED INEQUALITIES FOR HIGHER ORDER DERIVATIVES AND APPLICATIONS

Samet ERDEN, Mehmet Zeki SARIKAYA, Hüseyin Budak

Abstract


We establish a new Ostrowski type inequality for n + 1-times differentiable mappings which are bounded. Then, some new inequalities of Hermite-Hadamard type are obtained for functions whose n + 1:th derivatives in absolute value are convex. Spacial cases of these inequalities reduce some well known inequalities. With the help of obtained inequalities, we give applications for the k


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