The analogue of Bernstein’s inverse theorem for the one class of the space of sequences (in Ukrainian)
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2
Abstract
We introduce the space of numerical sequences lp={x=(ξk)∞k=1:|x|=∑∞k=1|ξk|pk≤+∞} with a quasi-norm |⋅| for an every sequence p=(pk)∞k=1 of numbers pk from the interval (0,1] and we prove the analogue of the inverse of Bernstein's theorem for this space.
Authors and Affiliations
Volodymyr Maslyuchenko, Halyna Voloshyn
Keywords
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- EP ID EP310099
- DOI 10.15330/ms.47.2.160-168
- Views 51
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