|
Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On the necessary and sufficient conditions for the measurability of a positive sequence
A. F. Kuzhaevab a Ufa State Petroleum Technological University,
1 Kosmonavtov str., Ufa 450062, Russia
b Bashkir State University,
32 Z. Validi str., Ufa 450076, Russia
Аннотация:
The work is devoted to finding out the necessary and sufficient conditions for the measurability of a sequence of positive numbers.
The concept of logarithmic measurability of a sequence is also introduced.
It is assumed that the considered sequences form a sequence of zeros of some entire function of exponential type.
Therefore, clarification of this question can be useful in solving the problem of completeness of the system of exponents or exponential monomials in some convex domain.
Such characteristics of the sequence as lower and upper densities, minimum and maximum densities, lower and upper logarithmic block densities play an important role.
Ключевые слова:
upper density, maximal density, logarithmic block density, zeros of entire function.
Поступила в редакцию: 13.06.2019 Исправленный вариант: 23.08.2019 Принята в печать: 21.08.2019
Образец цитирования:
A. F. Kuzhaev, “On the necessary and sufficient conditions for the measurability of a positive sequence”, Пробл. анал. Issues Anal., 8(26):3 (2019), 63–72
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa272 https://www.mathnet.ru/rus/pa/v26/i3/p63
|
Статистика просмотров: |
Страница аннотации: | 138 | PDF полного текста: | 34 | Список литературы: | 23 |
|