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Pregled bibliografske jedinice broj: 171237

On the Best Constant in Hilbert's Inequality


Krnić, Mario; Mingzhe, Gao; Pečarić, Josip; Xuemei, Gao
On the Best Constant in Hilbert's Inequality // Mathematical Inequalities and Applications, 8 (2005), 2; 317-329 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 171237 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On the Best Constant in Hilbert's Inequality

Autori
Krnić, Mario ; Mingzhe, Gao ; Pečarić, Josip ; Xuemei, Gao

Izvornik
Mathematical Inequalities and Applications (1331-4343) 8 (2005), 2; 317-329

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

Ključne riječi
Inequalities; Hilbert's inequality; Hardy-Hilbert's inequality; beta function; gamma function; equivalent inequalities; best possible constant

Sažetak
The main objective of this paper is a study of some new generalizations of Hilbert-type inequalities. More precisely, we obtain, in some general cases, that the constants involved in the right-hand sides of such inequalities are the best possible.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037117
0117014

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Krnić, Mario; Mingzhe, Gao; Pečarić, Josip; Xuemei, Gao
On the Best Constant in Hilbert's Inequality // Mathematical Inequalities and Applications, 8 (2005), 2; 317-329 (međunarodna recenzija, članak, znanstveni)
Krnić, M., Mingzhe, G., Pečarić, J. & Xuemei, G. (2005) On the Best Constant in Hilbert's Inequality. Mathematical Inequalities and Applications, 8 (2), 317-329.
@article{article, author = {Krni\'{c}, Mario and Mingzhe, Gao and Pe\v{c}ari\'{c}, Josip and Xuemei, Gao}, year = {2005}, pages = {317-329}, keywords = {Inequalities, Hilbert's inequality, Hardy-Hilbert's inequality, beta function, gamma function, equivalent inequalities, best possible constant}, journal = {Mathematical Inequalities and Applications}, volume = {8}, number = {2}, issn = {1331-4343}, title = {On the Best Constant in Hilbert's Inequality}, keyword = {Inequalities, Hilbert's inequality, Hardy-Hilbert's inequality, beta function, gamma function, equivalent inequalities, best possible constant} }
@article{article, author = {Krni\'{c}, Mario and Mingzhe, Gao and Pe\v{c}ari\'{c}, Josip and Xuemei, Gao}, year = {2005}, pages = {317-329}, keywords = {Inequalities, Hilbert's inequality, Hardy-Hilbert's inequality, beta function, gamma function, equivalent inequalities, best possible constant}, journal = {Mathematical Inequalities and Applications}, volume = {8}, number = {2}, issn = {1331-4343}, title = {On the Best Constant in Hilbert's Inequality}, keyword = {Inequalities, Hilbert's inequality, Hardy-Hilbert's inequality, beta function, gamma function, equivalent inequalities, best possible constant} }

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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