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On a multidimensional version of the Hilbert-type inequality


Krnić, Mario; Vuković, Predrag
On a multidimensional version of the Hilbert-type inequality // Analysis Mathematica, 38 (2012), 4; 291-303 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 575270 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On a multidimensional version of the Hilbert-type inequality

Autori
Krnić, Mario ; Vuković, Predrag

Izvornik
Analysis Mathematica (0133-3852) 38 (2012), 4; 291-303

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hilbert-type inequality; homogeneous kernel; the best possible constant; conjugate exponents

Sažetak
The main objective of this paper is a study of some new multidimensional Hilbert-type inequalities with a general homogeneous kernel. We derive a pair of equivalent inequalities, and also establish the conditions under which the constant factors included in obtained inequalities are the best possible. Some applications in particular settings are also considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb

Profili:

Avatar Url Predrag Vuković (autor)

Avatar Url Mario Krnić (autor)


Citiraj ovu publikaciju:

Krnić, Mario; Vuković, Predrag
On a multidimensional version of the Hilbert-type inequality // Analysis Mathematica, 38 (2012), 4; 291-303 (međunarodna recenzija, članak, znanstveni)
Krnić, M. & Vuković, P. (2012) On a multidimensional version of the Hilbert-type inequality. Analysis Mathematica, 38 (4), 291-303.
@article{article, author = {Krni\'{c}, Mario and Vukovi\'{c}, Predrag}, year = {2012}, pages = {291-303}, keywords = {Hilbert-type inequality, homogeneous kernel, the best possible constant, conjugate exponents}, journal = {Analysis Mathematica}, volume = {38}, number = {4}, issn = {0133-3852}, title = {On a multidimensional version of the Hilbert-type inequality}, keyword = {Hilbert-type inequality, homogeneous kernel, the best possible constant, conjugate exponents} }
@article{article, author = {Krni\'{c}, Mario and Vukovi\'{c}, Predrag}, year = {2012}, pages = {291-303}, keywords = {Hilbert-type inequality, homogeneous kernel, the best possible constant, conjugate exponents}, journal = {Analysis Mathematica}, volume = {38}, number = {4}, issn = {0133-3852}, title = {On a multidimensional version of the Hilbert-type inequality}, keyword = {Hilbert-type inequality, homogeneous kernel, the best possible constant, conjugate exponents} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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