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

Milad Yadollahzadeh, Mehdi Tourani, Gholamreza Karamali

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.

Keywords


p-derivative; p-integral; Steffensen inequality

Subject classification

05A30; 34A25

Sponsor(s)



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