Tbilisi Mathematical Journal

Some results on $p$-calculus

A. Neamaty and M. Tourani

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Abstract

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.

Article information

Source
Tbilisi Math. J., Volume 11, Issue 1 (2018), 159-168.

Dates
Received: 28 March 2017
Accepted: 27 December 2017
First available in Project Euclid: 21 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1524276037

Zentralblatt MATH identifier
1358.05033

Subjects
Primary: 05A30: $q$-calculus and related topics [See also 33Dxx]
Secondary: 34A25: Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX]

Keywords
$p$-derivative $p$-integral mean value theorem

Citation

Neamaty, A.; Tourani, M. Some results on $p$-calculus. Tbilisi Math. J. 11 (2018), no. 1, 159--168. https://projecteuclid.org/euclid.tbilisi/1524276037


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