科研之友
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摘要
Two classes of numerical sequences are defined by means certain properties of the differences of terms of positive sequences, and their relationship to some newly defined classes and the well-known Sidon-Telyakovskii class is analyzed. It is also verified that if a sequence belongs to the newly defined wider class, then with this sequence in place of the sequence {1/k} an essential inequality established by Telyakovskii can be generalized notably. This new result and the previous generalizations of the original Telyakovskii's theorem are incomparable.
- 出版日期2011-9
