Some new integral inequalities for functions whose derivatives of absolute values are convex and concave

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/34471

Title:	Some new integral inequalities for functions whose derivatives of absolute values are convex and concave
Authors:	Ekinci, Alper Akdemir, Ahmet Ocak Uludağ Üniversitesi/Eğitim Fakültesi/Matematik Bölümü. 0000-0002-5992-094X Özdemir, M. Emin AAH-1091-2021
Keywords:	Convex functions Concave functions Hermite-hadamard inequality Power-mean inequality Mathematics
Issue Date:	2019
Publisher:	Institute of Applied Mathematics
Citation:	Ekinci, A. vd. (2019). "Some new integral inequalities for functions whose derivatives of absolute values are convex and concave". TWMS Journal Of Pure And Applied Mathematics,10(2), 212-224.
Abstract:	In this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.
URI:	https://doi.org/10.12691/tjant-7-3-3 http://pubs.sciepub.com/tjant/7/3/3/index.html http://hdl.handle.net/11452/34471
ISSN:	2076-2585 2219-1259
Appears in Collections:	Web of Science

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