## Real Analysis Exchange

### Relation Between $L_{p}$-Derivates and Peano, Approximate Peano and Borel Derivates of Higher Order

#### Abstract

The definition of the $L_{p}$-derivative is such that it involves only the absolute value of the function and therefore the definition of $L_{p}$-derivates is not possible from the definition of $L_{p}$-derivative. Therefore, a special technique is used to define them and relations between $L_{p}$-derivates and Peano, approximate Peano and Borel derivates are studied.

#### Article information

Source
Real Anal. Exchange, Volume 41, Number 1 (2016), 137-158.

Dates
First available in Project Euclid: 29 March 2017

Mukhopadhyay, S. N.; Ray, S. Relation Between $L_{p}$-Derivates and Peano, Approximate Peano and Borel Derivates of Higher Order. Real Anal. Exchange 41 (2016), no. 1, 137--158. https://projecteuclid.org/euclid.rae/1490752821