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Pregled bibliografske jedinice broj: 1041348

Error estimates of approximations for the complex valued integral transforms

Aglić Aljinović, Andrea
Error estimates of approximations for the complex valued integral transforms // Differential and Integral Inequalities / Andrica, Dorin ; Rassias, Themistocles (ur.).
Cham: Springer, 2019. str. 21-47 doi:10.1007/978-3-030-27407-8_2

CROSBI ID: 1041348 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Error estimates of approximations for the complex valued integral transforms

Autori
Aglić Aljinović, Andrea

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Differential and Integral Inequalities

Urednik/ci
Andrica, Dorin ; Rassias, Themistocles

Izdavač
Springer

Grad
Cham

Godina
2019

Raspon stranica
21-47

ISBN
978-3-030-27406-1

ISSN
1931-6828

Ključne riječi
Laplace transform, Mellin transform

Sažetak
In this survey paper error estimates of approximations in complex domain for the Laplace and Mellin transform are given for functions f which vanish beyond a finite domain [a, b]⊂[0, ∞> and whose derivative belongs to L_{;p};[a, b]. New inequalities involving integral transform of f, integral mean of f and exponential and logarithmic mean of the endpoints of the domain of f are presented. These estimates enables us to obtain two associated numerical quadrature rules for each transform and error bounds of their remainders.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Andrea Aglić-Aljinović (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Aglić Aljinović, Andrea
Error estimates of approximations for the complex valued integral transforms // Differential and Integral Inequalities / Andrica, Dorin ; Rassias, Themistocles (ur.).
Cham: Springer, 2019. str. 21-47 doi:10.1007/978-3-030-27407-8_2
Aglić Aljinović, A. (2019) Error estimates of approximations for the complex valued integral transforms. U: Andrica, D. & Rassias, T. (ur.) Differential and Integral Inequalities. Cham, Springer, str. 21-47 doi:10.1007/978-3-030-27407-8_2.
@inbook{inbook, author = {Agli\'{c} Aljinovi\'{c}, Andrea}, year = {2019}, pages = {21-47}, DOI = {10.1007/978-3-030-27407-8\_2}, keywords = {Laplace transform, Mellin transform}, doi = {10.1007/978-3-030-27407-8\_2}, isbn = {978-3-030-27406-1}, issn = {1931-6828}, title = {Error estimates of approximations for the complex valued integral transforms}, keyword = {Laplace transform, Mellin transform}, publisher = {Springer}, publisherplace = {Cham} }
@inbook{inbook, author = {Agli\'{c} Aljinovi\'{c}, Andrea}, year = {2019}, pages = {21-47}, DOI = {10.1007/978-3-030-27407-8\_2}, keywords = {Laplace transform, Mellin transform}, doi = {10.1007/978-3-030-27407-8\_2}, isbn = {978-3-030-27406-1}, issn = {1931-6828}, title = {Error estimates of approximations for the complex valued integral transforms}, keyword = {Laplace transform, Mellin transform}, publisher = {Springer}, publisherplace = {Cham} }

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