## Tbilisi Mathematical Journal

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

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

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

#### 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