Geodesic
On Measures Determined by Functions with Finite Right and Left Limits Everywhere
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 207-225

Voir la notice de l'article provenant de la source Cambridge University Press

In another paper [l] measures determined from base functions, that have finite right and left limits everywhere and are of generalized bounded variation in the restricted sense, are studied and used to define non absolutely convergent integrals of Denjoy type. In this paper base functions of bounded variation and the corresponding measures are studied as a background for that paper. The results supplement parts of [2]. 
Ellis, H.W.; Jeffery, R. L. On Measures Determined by Functions with Finite Right and Left Limits Everywhere. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 207-225. doi: 10.4153/CMB-1967-019-7
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[1] 1. Ellis, H. W. and Jeffery, R. L., Derivatives and Integrals with respect to a base function of generalized bounded variation. Canadian Journal of Mathematics vol. 19 (1966), pages 225-241. Google Scholar

[2] 2. Munroe, M. E., Introduction to Measure and Integration. Addison-Wesley, Cambridge, Mass., 1953. Google Scholar

[3] 3. Natanson, I. P., Theory of Functions of a Real Variable, translated from the Russian by L. F. Boron, Frederick Ungar, New York, 1955. Google Scholar

[4] 4. Rudin, W., Principles of Mathematical Analysis, McGraw- Hill, New York, 1953. Google Scholar

[5] 5. Saks, S., Theory of the Integral, second revised edition, Warsaw, 1937. Google Scholar

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