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Differences of Slowly Varying Functions

✍ Scribed by Slobodanka Janković; Tatjana Ostrogorski

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
89 KB
Volume
247
Category
Article
ISSN
0022-247X

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✦ Synopsis

We characterize a class O⌸ q of nondecreasing slowly varying functions with the l property that if the difference L y L of two functions from this class is 1 2 nondecreasing, then it is slowly varying. The class O⌸ q is the restriction to l nondecreasing functions of the class O⌸ , well known in the theory of regularly g varying functions, where the auxiliary function g is taken to be a slowly varying nondecreasing function l with remainder term 1rlog t.

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