On the estimates of the Laplace integrals on the small parameter

Authors

I.Ye. Ovchar Ivano-Frankivsk National Technical University of Oil and Gas, 15 Karpatska str., 76019, Ivano-Frankivsk, Ukraine
O.B. Skaskiv Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine https://orcid.org/0000-0001-5217-8394

Keywords:

Laplace type integral, measurable function, measure with unbounded support

Published online: 2011-06-30

Abstract

Asymptotic estimates for the Laplace integrals are established.

Article (Українська)

How to Cite

(1)

Ovchar, I.; Skaskiv, O. On the Estimates of the Laplace Integrals on the Small Parameter. Carpathian Math. Publ. 2011, 3, 106-111.

Download Citation

Most read articles by the same author(s)

A.O. Kuryliak, O.B. Skaskiv, Sub-Gaussian random variables and Wiman's inequality for analytic functions , Carpathian Mathematical Publications: Vol. 15 No. 1 (2023)
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv, Composition of entire and analytic functions in the unit ball , Carpathian Mathematical Publications: Vol. 14 No. 1 (2022)
M.R. Kuryliak, O.B. Skaskiv, On the domain of convergence of general Dirichlet series with complex exponents , Carpathian Mathematical Publications: Vol. 15 No. 2 (2023)
O.B. Skaskiv, A.O. Kuryliak, Wiman's type inequality for analytic and entire functions and $h$-measure of an exceptional sets , Carpathian Mathematical Publications: Vol. 12 No. 2 (2020)
I.Ye. Ovchar, O.B. Skaskiv, Some analogue of the Wiman inequality for the Laplace integrals on a small parameter , Carpathian Mathematical Publications: Vol. 5 No. 2 (2013)
O.Yu. Zadorozhna, O.B. Skaskiv, On the abscises of the convergence of multiple Dirichlet series , Carpathian Mathematical Publications: Vol. 1 No. 2 (2009)
Ya.Z. Stasyuk, O.B. Skaskiv, On the equivalence of the sum and the maximal term of the Dirichlet series absolutely convergent in the half-plane , Carpathian Mathematical Publications: Vol. 1 No. 1 (2009)
O.B. Skaskiv, A.O. Kuryliak, Direct analogues of Wiman's inequality for analytic functions in the unit disc , Carpathian Mathematical Publications: Vol. 2 No. 1 (2010)