Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 11, Issue 1 (2018), 159-168.
Some results on $p$-calculus
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 Math. J., Volume 11, Issue 1 (2018), 159-168.
Received: 28 March 2017
Accepted: 27 December 2017
First available in Project Euclid: 21 April 2018
Permanent link to this document
Zentralblatt MATH identifier
Neamaty, A.; Tourani, M. Some results on $p$-calculus. Tbilisi Math. J. 11 (2018), no. 1, 159--168. https://projecteuclid.org/euclid.tbilisi/1524276037