Tbilisi Mathematical Journal

New Hadamard-type inequalities for functions whose derivatives are $(\alpha ,m)-$convex functions

M. Emin Özdemir, Ahmet Ocak Akdemir, and Alper Ekinci

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Abstract

In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are $(\alpha ,m)-$convex.

Article information

Source
Tbilisi Math. J., Volume 7, Issue 2 (2014), 61-72.

Dates
Received: 28 September 2014
Accepted: 2 December 2014
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528768976

Digital Object Identifier
doi:10.2478/tmj-2014-0017

Mathematical Reviews number (MathSciNet)
MR3313056

Zentralblatt MATH identifier
1305.26050

Subjects
Primary: 26D15: Inequalities for sums, series and integrals

Keywords
$(\alpha ,m)-$Convex Hadamard-Type Inequalities Hölder inequality Power mean inequality

Citation

Özdemir, M. Emin; Akdemir, Ahmet Ocak; Ekinci, Alper. New Hadamard-type inequalities for functions whose derivatives are $(\alpha ,m)-$convex functions. Tbilisi Math. J. 7 (2014), no. 2, 61--72. doi:10.2478/tmj-2014-0017. https://projecteuclid.org/euclid.tbilisi/1528768976


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References

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