Uniform convergence of sine integral-series
In this paper we define the class GMSF(alpha, beta, gamma) of General Monotone Sequence of Functions with majorants alpha, beta, gamma : (R) over bar (2)(+) -> (R) over bar (+), (R) over bar (+) := [0, infinity). For a sequence of admissible functions {f(k)(t)}(k=1)(infinity) subset of C belongin...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2022
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| Sorozat: | QUAESTIONES MATHEMATICAE
45 No. 5 |
| Tárgyszavak: | |
| doi: | 10.2989/16073606.2021.1891152 |
| mtmt: | 32355438 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/37067 |
| Tartalmi kivonat: | In this paper we define the class GMSF(alpha, beta, gamma) of General Monotone Sequence of Functions with majorants alpha, beta, gamma : (R) over bar (2)(+) -> (R) over bar (+), (R) over bar (+) := [0, infinity). For a sequence of admissible functions {f(k)(t)}(k=1)(infinity) subset of C belonging to this class we find necessary and sufficient conditions under which the sine integral-seriesintegral(infinity)(0)Sigma(k=1) f(k)(t) sin ku sin tv dtconverges in the regular sense uniformly in (u, v) is an element of <(R)over bar(+)(2). |
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| Terjedelem/Fizikai jellemzők: | 711-722 |
| ISSN: | 1607-3606 |