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Pregled bibliografske jedinice broj: 171267

On some general Hilbert's Inequalities with non-conjugate parameters


Krnić, Mario; Pečarić, Josip
On some general Hilbert's Inequalities with non-conjugate parameters // Rendiconti del Circolo Matematico di Palermo, II (2007), LVI; 219-234 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 171267 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On some general Hilbert's Inequalities with non-conjugate parameters

Autori
Krnić, Mario ; Pečarić, Josip

Izvornik
Rendiconti del Circolo Matematico di Palermo (0009-725X) II (2007), LVI; 219-234

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

Ključne riječi
Inequalities; Hilbert's inequality; Euler-Maclaurin summation formula; homogeneous function; kernel; weight function; equivalent inequalities

Sažetak
A generalized discrete Hilbert's and Hardy-Hilbert's inequality with non-conjugate parameters can be obtained by means of Euler-Maclaurin summation formula. We derive some general results for homogeneous functions and compare our results with some previously known from the literature. We also obtain the improvements on some earlier results.

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:
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Krnić, Mario; Pečarić, Josip
On some general Hilbert's Inequalities with non-conjugate parameters // Rendiconti del Circolo Matematico di Palermo, II (2007), LVI; 219-234 (međunarodna recenzija, članak, znanstveni)
Krnić, M. & Pečarić, J. (2007) On some general Hilbert's Inequalities with non-conjugate parameters. Rendiconti del Circolo Matematico di Palermo, II (LVI), 219-234.
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2007}, pages = {219-234}, keywords = {Inequalities, Hilbert's inequality, Euler-Maclaurin summation formula, homogeneous function, kernel, weight function, equivalent inequalities}, journal = {Rendiconti del Circolo Matematico di Palermo}, volume = {II}, number = {LVI}, issn = {0009-725X}, title = {On some general Hilbert's Inequalities with non-conjugate parameters}, keyword = {Inequalities, Hilbert's inequality, Euler-Maclaurin summation formula, homogeneous function, kernel, weight function, equivalent inequalities} }
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2007}, pages = {219-234}, keywords = {Inequalities, Hilbert's inequality, Euler-Maclaurin summation formula, homogeneous function, kernel, weight function, equivalent inequalities}, journal = {Rendiconti del Circolo Matematico di Palermo}, volume = {II}, number = {LVI}, issn = {0009-725X}, title = {On some general Hilbert's Inequalities with non-conjugate parameters}, keyword = {Inequalities, Hilbert's inequality, Euler-Maclaurin summation formula, homogeneous function, kernel, weight function, equivalent inequalities} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)
  • Scopus





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