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Generalised Hölderian functions

Published online by Cambridge University Press:  17 April 2009

S. De Sarkar  and
S. Panda
S. De Sarkar
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani – 741 235, Dist. Nadia, West Bengal, India
S. Panda
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani – 741 235, Dist. Nadia, West Bengal, India
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Abstract

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The concept of kth Hölderian functions on an interval [a, b] which generalises the notion of Hölderian (Lipschitzian) functions of positive order on [a, b] is introduced. The relationship of such functions to functions of bounded kth variation and absolutely kth continuous functions is examined. Properties induced by higher order derivatives in this new class of functions are investigated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 1 , August 1989 , pp. 147 - 155
Copyright
Copyright © Australian Mathematical Society 1989

References

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