Naslov
Error estimates for approximations of the Mellin transform in Lp spaces

Autori
Aglić Aljinović, Andrea

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
MASSEE International Congress on Mathematics, MICOM 2009, Book of abstracts / - Ohrid, 2009, 8-8

Skup
MICOM 2009

Mjesto i datum
Ohrid, Sjeverna Makedonija, 16.09.2009. - 20.09.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Mellin transform; approximations in complex domain

Sažetak
In this talk error estimates of the approximations in complex domain for the Mellin transform M(f) are given for real functions f which vanish beyond a finite domain [a, b]⊂<0, ∞> and such that f′∈Lp[a, b]. The estimate of the difference between E(zln a, zln b)(L(a, b))⁻¹∫_{;a};^{;b};f(t)dt and M(f)(z) is given, where E(z, w) is exponential mean of complex numbers z and w, and L(a, b) is logarithmic mean of real numbers a and b. New inequalities concerning the estimate of the difference between two Mellin transforms are presented. These are used to obtain two associated numerical quadrature rules and error bounds for their reminders.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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