Real Analysis Exchange

A Note on Monotonicity Theorems for Approximately Continuous Functions

Hajrudin Fejzić

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

A simple proof of a well-known monotonicity theorem for the approximate derivative is presented. The same technique provides a proof of a generalized version of Ornesteinʼs Theorem.

Article information

Source
Real Anal. Exchange, Volume 42, Number 2 (2017), 429-432.

Dates
First available in Project Euclid: 10 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.rae/1525917696

Digital Object Identifier
doi:10.14321/realanalexch.42.2.0429

Mathematical Reviews number (MathSciNet)
MR3721810

Zentralblatt MATH identifier
06870338

Subjects
Primary: 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]

Keywords
approximately continuous functions monotonicity theorems

Citation

Fejzić, Hajrudin. A Note on Monotonicity Theorems for Approximately Continuous Functions. Real Anal. Exchange 42 (2017), no. 2, 429--432. doi:10.14321/realanalexch.42.2.0429. https://projecteuclid.org/euclid.rae/1525917696


Export citation