Some results on $p$-calculus

A. Neamaty and M. Tourani

Our aim is to present some new properties of functions in $p$-calculus. The effects of a convex or monotone function on the $p$-derivative and vice versa and also the behavior of $p$-derivative in a neighborhood of a local extreme point are expressed. Moreover, mean value theorems for $p$% -derivatives and $p$-integrals are proved.

Tbilisi Mathematical Journal, Vol. 11(1) (2018), pp. 159-168