Tbilisi Mathematical Journal

New inequalities for $n$-time differentiable functions

Çetin Yildiz and M. Emin Özdemir

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Abstract

In this paper, we obtain several inequalities of Ostrowski type that the absolute values of n-time differentiable functions are convex. Also, some applications to special means of real numbers are provided.

Article information

Source
Tbilisi Math. J., Volume 12, Issue 2 (2019), 1-15.

Dates
Received: 20 December 2016
Accepted: 10 February 2019
First available in Project Euclid: 21 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1561082563

Digital Object Identifier
doi:10.32513/tbilisi/1561082563

Mathematical Reviews number (MathSciNet)
MR3973255

Subjects
Primary: 26D15: Inequalities for sums, series and integrals
Secondary: 26D10: Inequalities involving derivatives and differential and integral operators

Keywords
Hermite-Hadamard inequality Ostrowski inequality convex functions

Citation

Yildiz, Çetin; Özdemir, M. Emin. New inequalities for $n$-time differentiable functions. Tbilisi Math. J. 12 (2019), no. 2, 1--15. doi:10.32513/tbilisi/1561082563. https://projecteuclid.org/euclid.tbilisi/1561082563


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