Korean J. Math. Vol. 27 No. 3 (2019) pp.803-817
DOI: https://doi.org/10.11568/kjm.2019.27.3.803

On Steffensen inequality in $p$-calculus

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Published: Sep 30, 2019
Keywords:
p-derivative, p-integral, Steffensen inequality
Mathematics Subject Classification:
05A30, 34A25

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Milad Yadollahzadeh
Mehdi Tourani
Department of Mathematics Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Gholamreza Karamali
School of Mathematics Shahid Sattari Aeronautical University of Science and Technology Tehran, Iran

Abstract

In this paper, we provide a new version of Steffensen inequality for $p$-calculus analogue in [17,18] which is a generalization of previous results. Also, the conditions for validity of reverse to $p$-Steffensen inequalities are given. Lastly, we will obtain a generalization of $p$-Steffensen inequality to the case of monotonic functions.


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