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On the Riemann Derivatives for Integrable Functions

Published online by Cambridge University Press:  20 November 2018

P. L. Butzer  and
W. Kozakiewicz
P. L. Butzer
Affiliation:
McGill University
W. Kozakiewicz
Affiliation:
McGill University
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The central difference of order s of the function f(x), Δs2hf(x), corresponding to a number h > 0, is defined inductively by the relations

.

If the limit of the difference quotient

exists at the point x, it is called the sth Riemann derivative or the generalized sth derivative of fix) at the point x.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 572 - 581
Copyright
Copyright © Canadian Mathematical Society 1954

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