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.
"Some results on $p$-calculus." Tbilisi Math. J. 11 (1) 159 - 168, January 2018. https://doi.org/10.32513/tbilisi/1524276037