Abstract
AbstractThe article on Riemann derivatives by P. L. Butzer and W. Kozakiewicz of 1954 was the basis to generalizations of the classical scalar-valued derivatives to Taylor, Peano, and Riemann derivatives in the setting of semigroup theory. The present paper gives an overview of the 1954 article, describes its influence, and integrates it into the literature on related problems. It also describes the state of the mathematics department at McGill University where the article was written.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Reference47 articles.
1. Butzer, P.L., Kozakiewicz, W.: On the Riemann derivatives for integrable functions. Canadian J. Math. 6, 572–581 (1954). https://doi.org/10.4153/cjm-1954-062-5
2. Zygmund, A.: Trigonometrical series. Panstwowe Wydawnictwo Naukowe. Warszawa (1935). 2nd Edition: Dover Publications, New York (1955)
3. Brouwer, L.E.J.: Over differentiequotienten en differentiaalquotienten. Amst. Ak. Versl. 17, 38–45 (1908)
4. Popoviciu, T.: Sur les solutions bornees et les solutions mesurables de certaines équations fonctionnelles. Mathematica, Cluj 14, 47–106 (1938)
5. Butzer, P.L., Nessel, R.J.: Fourier analysis and approximation. Birkhäuser, Basel; Academic Press, New York (1971)