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On the equivalence of a strong symmetrical and a strong complete differentiation basis
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Tamaz Zerekidze
Published/Copyright:
April 6, 2011
Abstract
It is proved that – different from the case of binary differentiation bases – in the case of strong differentiation bases a symmetrical and a complete differentiation basis are equivalent throughout the space of locally integrable functions.
Received: 2008-10-08
Published Online: 2011-04-06
Published in Print: 2011-March
© de Gruyter 2011
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Keywords for this article
Differentiability of integral;
strong differentiation basis;
equivalence bases
Articles in the same Issue
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- A biregular extension theorem from a fractal surface in
- Exceptional functions and normal families of holomorphic functions with multiple zeros
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- Necessary and sufficient optimality conditions for set-valued optimization problems
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