Analogues of Whittker's theorem  for Laplace-Stieltjes integrals

M.S. Dobushovskyy; M.M. Sheremeta

doi:10.15330/cmp.8.2.239-250

Analogues of Whittker's theorem for Laplace-Stieltjes integrals

Authors

M.S. Dobushovskyy Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
M.M. Sheremeta Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

https://doi.org/10.15330/cmp.8.2.239-250

Keywords:

Laplace-Stieltjes integral, maximum of integrand, Whittaker's theorem

Published online: 2016-12-30

Abstract

For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.