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Some Results on ω-Derivatives and BV-ω Functions

Published online by Cambridge University Press:  09 April 2009

M. C. Chakrabarty
M. C. Chakrabarty
Affiliation:
Suri Vidyasagar CollegeWest Bengal, India
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Let ω(x) be non-decreasing on the closed interval [a, b]. Outside the interval ω(x) is defined by ω(x) = ω(a) for x < a and ω(x) = ω(b) for x > b. Let S denote the set of points of continuity of ω(x) and D denote the set of points of discontinuity of ω(x). R. L. Jeffery [5] has defined the class U, of functions f(x) as follows:

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 345 - 360
Copyright
Copyright © Australian Mathematical Society 1969

References

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