Generalized derivates and derivatives of typical continuous functions
type: Item
instance of: scholarly article
title: Generalized derivates and derivatives of typical continuous functions
zbMATH Open document ID: 0888.26004
author: K. M. Garg
published in: Real Analysis Exchange
publication date: 1998-03-29T00:00:00Z
review text: We present here briefly some results on the nature of various known generalized derivates, and some generalized new derivatives, of typical continuous functions. Any property is said to hold for typical continuous functions if it holds for a residual set of functions in the Banach space \(C\) of continuous real valued functions on the interval \(I \equiv [0,1]\) under the uniform norm. These results will be presented in greater detail in the author's paper [``Generalized derivates and derivatives of typical continuous functions'' (to appear in Real Anal. Exch.)], and would appear subsequently with proofs in his forthcoming monograph [``A unified theory of differentiation via some new derivatives''].
Mathematics Subject Classification ID: 26A24
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 1134757
zbMATH Keywords: generalized derivate
zbMATH Keywords: typical continuous functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1134757