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Elementary remarks on the abscissas of convergence of Laplace-Stiehljes integrals
Zadorozhna Olga Yulianivna 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-Stiehljes integrals
Abstract
We find new estimates between the integrand, Lebesgue–Stieltjes measure and convergence abscissa of the Laplace-Stieltjes integral.
References

[1] Knopp K. Über die Konvergenzabszisse des Laplace-Integrals // Math. Zeitschr. – 1951. – 54 , №3. – P. 291-296.

[2] Ugaheri T. On the abscissa of convergence of Laplace-Stieltjes integral // Ann. Inst. Stat. Math. – 1951. – 2 , №1. – P. 1-3.

[3] Delange H. Sur les points singuliers de la fonction définie par une intégrale de Laplace-Stieltjes // J. d’Anal. Math. – 1956. – 5  , №1. – P. 1-33.

[4] Voigt Ju. On the abscissa of convergence for the Laplace transform of vector valued measures // Arch. Math. – 1982. – 39 . – P. 455-462.

[5] Posiko O. S. On the convergence abscissa of Laplace-Stieltjes integral // Visn. L’viv. Univ. – 2004. – 63 . – P. 123-130.

[6] Sheremeta M. Asymtotical behaviour of Laplace- Stieltjes integrals. – Lviv: VNTL Publishers, 2010. – 211 p.

[7] Leontiev A. F. Rows of exponents. - M.: Nauka, 1976. - 536 p.

[8] Mulyava O. M. On the abscissa of convergence of the Dirichlet series // Math. Stud. - 1998. - 9, № 2. - P. 171-176.

[9] Posiko O., Sheremeta M. Asymptotic estimates of Laplace-Stieltjes integrals  // Ukrainian Mathematical Journal - 2005. - 2, N4. - P. 541-549.

[10] Posiko O. S., Skaskiv O. B., Sheremeta M. M. Estimates of the Laplace-Stieltjes integral // Math. Stud. - 2004. - 21, N2. - P. 179-186.

[11] Sheremeta M. M. Whole series of Dirichlet. - K.: IS-DO, 1993. - 168 p.

Cite
ACS Style
Zadorozhna, O.Y.; Skaskiv, O.B. Elementary remarks on the abscissas of convergence of Laplace-Stiehljes integrals. Bukovinian Mathematical Journal. 2016, 1
AMA Style
Zadorozhna OY, Skaskiv OB. Elementary remarks on the abscissas of convergence of Laplace-Stiehljes integrals. Bukovinian Mathematical Journal. 2016; 1(3-4).
Chicago/Turabian Style
Olga Yulianivna Zadorozhna, Oleg Bogdanovich Skaskiv. 2016. "Elementary remarks on the abscissas of convergence of Laplace-Stiehljes integrals". Bukovinian Mathematical Journal. 1 no. 3-4.
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