Approximations of the Mellin transform in the complex domain. Aljinovic, A. A. ADVANCES IN PURE AND APPLIED MATHEMATICS, 5(3):139–149, WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, July, 2014. doi abstract bibtex In this paper error estimates of approximations in the complex domain for the Mellin transform are given for functions f which vanish beyond a finite domain \[\a, b] subset of \[\0, infinity > and whose derivatives belong to L-p \[\a, b]. These estimates enable us to obtain two associated numerical quadrature rules and error bounds of their remainders.
@article{WOS:000446872300002,
abstract = {In this paper error estimates of approximations in the complex domain
for the Mellin transform are given for functions f which vanish beyond a
finite domain \{[\}a, b] subset of \{[\}0, infinity > and whose derivatives
belong to L-p \{[\}a, b]. These estimates enable us to obtain two
associated numerical quadrature rules and error bounds of their
remainders.},
address = {GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY},
author = {Aljinovic, Andrea Aglic},
doi = {10.1515/apam-2014-0015},
issn = {1867-1152},
journal = {ADVANCES IN PURE AND APPLIED MATHEMATICS},
keywords = {Mellin transform; Montgomery identity; quadrature},
month = jul,
number = {3},
pages = {139--149},
publisher = {WALTER DE GRUYTER GMBH},
title = {{Approximations of the Mellin transform in the complex domain}},
type = {Article},
volume = {5},
year = {2014}
}
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