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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 534=22, 2018.

Original scientific paper

https://doi.org/10.21857/m8vqrtz169

Inequalities via (p,r)-convex functions

Muhammad Aslam Noor ; Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
Khalida Inayat Noor ; Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
Sabah Iftikhar ; Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan

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Abstract

The main aim of this paper is to introduce a new class of convex functions, which is called (p,r)-convex functions. We derive some new Hermite-Hadamard type integral inequalities via (p,r)-convex functions. Some special cases are also discussed. These results can be considered as significant improvement of the known results. The technique and ideas of this paper may motivate further research.

Keywords

r-convex functions; p-convex functions; Hermite-Hadamard type inequality

Hrčak ID:

206197

URI

https://hrcak.srce.hr/206197

Publication date:

28.9.2018.

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