Tbilisi Mathematical Journal

Generalized Hermite -Hadamard type integral inequalities for functions whose 3rd derivatives are s-convex

Mehmet Zeki Sarikaya and Hüseyin Budak

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Abstract

In this paper, we have established Hermite-Hadamard type inequalities for functions whose 3rd derivatives are s-convex depending on a parameter. These results have generalized some relationships with [4].

Article information

Source
Tbilisi Math. J., Volume 7, Issue 2 (2014), 41-49.

Dates
Received: 17 June 2014
Accepted: 12 November 2014
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528768974

Digital Object Identifier
doi:10.2478/tmj-2014-0015

Mathematical Reviews number (MathSciNet)
MR3313054

Zentralblatt MATH identifier
1305.26055

Subjects
Primary: 26D07: Inequalities involving other types of functions
Secondary: 26D10: Inequalities involving derivatives and differential and integral operators 26D15: Inequalities for sums, series and integrals 26A33: Fractional derivatives and integrals

Keywords
Hermite-Hadamard's inequalities s-convex function Hölder's inequality

Citation

Sarikaya, Mehmet Zeki; Budak, Hüseyin. Generalized Hermite -Hadamard type integral inequalities for functions whose 3rd derivatives are s-convex. Tbilisi Math. J. 7 (2014), no. 2, 41--49. doi:10.2478/tmj-2014-0015. https://projecteuclid.org/euclid.tbilisi/1528768974


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References

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