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On Asymmetrical Derivates of Non-Differentiable Functions

Published online by Cambridge University Press:  20 November 2018

K. M. Garg
K. M. Garg*
Affiliation:
University of Alberta, Edmonton, Alberta
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Let ƒ(x) be a non-differentiable function, i.e. a realvalued continuous function denned on a linear interval which has nowhere a finite or infinite derivative. We shall say that ƒ(x) has symmetrical derivates at a point x if the four Dini derivates of ƒ(x) at x satisfy the relations

and otherwise we shall say that ƒ(x) has asymmetrical dérivâtes at x.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 135 - 143
Copyright
Copyright © Canadian Mathematical Society 1968

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