Open AccessAnalogues of Whittker's theorem for Laplace-Stieltjes integrals
Author(s) -
Markiyan Dobushovskyy,
М. М. Sheremeta
Publication year - 2016
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.8.2.239-250
Subject(s) - lacunary function , mathematics , riemann–stieltjes integral , sequence (biology) , laplace transform , power series , laplace–stieltjes transform , fundamental theorem of calculus , pure mathematics , mathematical analysis , calculus (dental) , picard–lindelöf theorem , integral equation , fixed point theorem , medicine , fourier analysis , dentistry , fourier transform , biology , fractional fourier transform , genetics
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.