Перейти до основного вмісту
Asymptotic estimates of externally exceptional sets of Laplace-Stilljes integrals
Zikrach Dmytro Yuriyovych 1 , Skaskiv Oleg Bogdanovich 2
1 Ivan Franko National University of Lviv, Ivan Franko National University of Lviv, 79000, Ukraine
2 Department of theory of functions and functional analysis, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords: Laplace-Stilljes integrals
Abstract

New description of the exceptional sets іп asymptotic estimates іп terms of rntegrand function of the Laplace-Stiltes rntegrals is obtarned.

References

1. Skaskiv O.B. On some relations between the maximum of the modulus and the maximum term of the entire Dirichlet series // Mat. Notes. - 1999. - 66, No. 2. - P. 282-292.
2. Skaskiv O.B. On the behavior of the maximum term of the Dirichlet series, specifying an entire function // Mat. Notes. - 1985. - 37, No. 1. - P. 41-47.
3. Skaskiv O.B., Trakalo O.M. Asymptotic estimates of Laplace-type integrals // Mat. Stud. - 2002. - 18, No. 2. - P.125-146.
4. Skaskiv O.B., Orishchin O.G. Generalization of Borel’s theorem for multiple Dirichlet series // Mat. Stud. - 1997. - 8, No. 1. - P.43-52.
5. Skaskiv O.B., Trakalo O.M. On the exceptional set in Borel’s relation for entire double Dirichlet series // Mat. Stud. - 2001. - 15, No. 2. - P.163-172.
6. Skaskiv O.B., Zikrach D.Yu. The best possible description of exceptional set in Borel’s relation for multiple Dirichlet series // Mat. Stud. - 2008. - 30, No. 2. - P.189-194.
7. Zikrach D.Yu., Skaskiv O.B. On the description of an exceptional set in the Borel relation for entire multiple Dirichlet series with a restriction on growth from above // ​​Mat. Stud. - 2008. - 32, No. 2. - P. 139-147.
8. Skaskiv O.B., Trakalo O.M. An exact estimate of an exceptional set in the Borel relation for entire functions of several variables // Mat. Stud. - 2002. - 18, No. 1. - P. 53-56.
9. Salo T.M., Skaskiv O.B., Trakalo O .M. On the best possible description of exceptional set in Wiman-Valiron theory for entire function // Mat. Stud. - 2001. - 16, No. 2. - P.131-140.
10. Filevych P.V. Asymptotic relations between the means of Dirichlet series and their applications // Mat. Stud. - 2002. - 19, No. 2. - P.127-140.
11. Trakalo O., Skaskiv O. Exceptional set in the Borel relation for multiple Dirichlet series // International conference “Analysis and Topology” Lviv, May 26—June 7, 2008: Book of abstracts. - Lviv, 2008. - P.101.
12. Skaskiv O.B., Trusevich O.M. Asymptotic properties of regularly convergent functional series // Preprint No.17-1. - Lviv: IP PM MN AN Ukraine, 1999. - 18p.
13. Sheremeta M.M. On the equivalence of logarithms of the maximum modulus and the maximum term of the entire Dirichlet series // Mat. Zametki. - 1987. - 42, No. 2. - P.215-226.

Cite
ACS Style
Zikrach, D.Y.; Skaskiv, O.B. Asymptotic estimates of externally exceptional sets of Laplace-Stilljes integrals. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Zikrach DY, Skaskiv OB. Asymptotic estimates of externally exceptional sets of Laplace-Stilljes integrals. Bukovinian Mathematical Journal. 2018; 1(4).
Chicago/Turabian Style
Dmytro Yuriyovych Zikrach, Oleg Bogdanovich Skaskiv. 2018. "Asymptotic estimates of externally exceptional sets of Laplace-Stilljes integrals". Bukovinian Mathematical Journal. 1 no. 4.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings