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Pregled bibliografske jedinice broj: 401994

Hilbert inequality and Gaussian hypergeometric functions

Krnić, Mario
Hilbert inequality and Gaussian hypergeometric functions // Mathematical Inequalities and Applications, Trogir, Croatia
Trogir, Hrvatska, 2008. (predavanje, međunarodna recenzija, sažetak, znanstveni)

CROSBI ID: 401994 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Hilbert inequality and Gaussian hypergeometric functions

Autori
Krnić, Mario

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

Izvornik
Mathematical Inequalities and Applications, Trogir, Croatia / - , 2008

Skup
Mathematical Inequalities and Applications

Mjesto i datum
Trogir, Hrvatska, 08.06.2008. - 14.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hilbert inequality; Hardy-Hilbert inequality; Gaussian hypergeometric functions; equivalent inequalities; the best possible constants

Sažetak
By using the integral representation of Gaussian hypergeometric function, we obtain Hilbert type inequalities with some fractional kernels and nonconjugate parameters. Such inequalities include constant factors expressed in terms of hypergeometric functions. Further, we obtain the best possible constants for some general cases, in conjugate case.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mario Krnić (autor)

Citiraj ovu publikaciju:

Krnić, Mario
Hilbert inequality and Gaussian hypergeometric functions // Mathematical Inequalities and Applications, Trogir, Croatia
Trogir, Hrvatska, 2008. (predavanje, međunarodna recenzija, sažetak, znanstveni)
Krnić, M. (2008) Hilbert inequality and Gaussian hypergeometric functions. U: Mathematical Inequalities and Applications, Trogir, Croatia.
@article{article, author = {Krni\'{c}, Mario}, year = {2008}, keywords = {Hilbert inequality, Hardy-Hilbert inequality, Gaussian hypergeometric functions, equivalent inequalities, the best possible constants}, title = {Hilbert inequality and Gaussian hypergeometric functions}, keyword = {Hilbert inequality, Hardy-Hilbert inequality, Gaussian hypergeometric functions, equivalent inequalities, the best possible constants}, publisherplace = {Trogir, Hrvatska} }
@article{article, author = {Krni\'{c}, Mario}, year = {2008}, keywords = {Hilbert inequality, Hardy-Hilbert inequality, Gaussian hypergeometric functions, equivalent inequalities, the best possible constants}, title = {Hilbert inequality and Gaussian hypergeometric functions}, keyword = {Hilbert inequality, Hardy-Hilbert inequality, Gaussian hypergeometric functions, equivalent inequalities, the best possible constants}, publisherplace = {Trogir, Hrvatska} }

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