Analogues of Whittker's theorem for Laplace-Stieltjes integrals | Zendy

Markiyan Dobushovskyy | Zendy; M. M. Sheremeta | Zendy

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Analogues of Whittker's theorem for Laplace-Stieltjes integrals

Author(s) -

Markiyan Dobushovskyy,

M. M. Sheremeta

Publication year - 2016

Publication title -

carpathian mathematical publications

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.

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