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M. E. Özdemir, A. Ekinci and A. O. Akdemir, Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values are convex and concave, TWMS Journal of Pure and Applied Mathematics (2019) Accepted.

has been cited by the following article:

Article

Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex

1Uludag University, Education Faculty, Bursa, Turkey

2Bandirma Onyedi Eylul University, Bandirma Vocational School, Balıkesir, Turkey


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 3, 70-76
DOI: 10.12691/tjant-7-3-3
Copyright © 2019 Science and Education Publishing

Cite this paper:
M. Emin Özdemir, Alper Ekinci. Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex. Turkish Journal of Analysis and Number Theory. 2019; 7(3):70-76. doi: 10.12691/tjant-7-3-3.

Correspondence to: M.  Emin Özdemir, Uludag University, Education Faculty, Bursa, Turkey. Email: eminozdemir@uludag.edu.tr

Abstract

In this paper, we prove some new inequalities for the functions whose derivatives absolute values are s-convex by dividing the interval to equal even sub-intervals. We obtain some new results involving intermediate values of in by using some classical inequalities like Hermite-Hadamard, Hölder and Power-Mean.

Keywords