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Wieman-type inequality for Laplace-Stiehljes 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: Wieman-type inequality, Laplace-Stiehljes integrals
Abstract
We obtain a new description of the exceptional set in an asymptotic estimate from above of Wiman’s type in terms of maximum of integrand function of the Laplace–Stieltjes integrals.
References

[1] Valiron G. Sur les fonctions entieres d’ordre fini et d’ordre null et en particulier les fonctions a correspondance reguliere // Ann Fac. Sci. Univ. Toulouse. – 1914. – V. 5. – P. 117–257.

[2] Wiman A. Über den Zusammenhang zwischen dem Maximalbetrage einer analytishen Funktion und dem grössten Gliede der zugehörigen Taylorischen Reihe // Acta Math. – 1914. – V. 37. – P. 305–326.

[3] Sheremeta M.M. Integer Dirichlet series - K.: IS-DO, 1993. - 168 p.

[4] Skaskiv O.B. On the existence of exceptional values in the Borel type relation for integer Dirichlet series // Lviv University Bulletin, Series of Mech. and Math. 1988 - Issue 30 - P. 53-54.

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[6] Skaskiv O.B., Trakalo O.M. On the classical Wiman inequality for integer multiple Dirichlet series (in Ukrainian) // Mathematical methods and physical and mechanical fields. - 2000. - Vol. 44, № 3. - P. 34-39.

[7] Oryshchyn O.G., Skaskiv O.B., Trakalo O.M. Remarks on Wiener type inequalities for multiple Dirichlet series // Bulletin of the State Institution “Lviv Polytechnic.” - 1999. - № 364. - P. 127-131.

[8] Zikrach D.Yu., Skaskiv O.B. On the best possible description of an exceptional set in asymptotic estimates for Laplace-Stiltjes integrals // Mat. Stud. – 2011. – V. 35, №2. – P. 131–141.

Cite
ACS Style
Zikrach, D.Y.; Skaskiv, O.B. Wieman-type inequality for Laplace-Stiehljes integrals. Bukovinian Mathematical Journal. 2016, 1
AMA Style
Zikrach DY, Skaskiv OB. Wieman-type inequality for Laplace-Stiehljes integrals. Bukovinian Mathematical Journal. 2016; 1(1-2).
Chicago/Turabian Style
Dmytro Yuriyovych Zikrach, Oleg Bogdanovich Skaskiv. 2016. "Wieman-type inequality for Laplace-Stiehljes integrals". Bukovinian Mathematical Journal. 1 no. 1-2.
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