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Pregled bibliografske jedinice broj: 606257

A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel

Krnić, Mario; Pečarić, Josip; Vuković, Predrag
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel // Mediterranean journal of mathematics, 10 (2013), 4; 1697-1716 doi:10.1007/s00009-013-0265-1 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 606257 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel

Autori
Krnić, Mario ; Pečarić, Josip ; Vuković, Predrag

Izvornik
Mediterranean journal of mathematics (1660-5446) 10 (2013), 4; 1697-1716

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

Ključne riječi
half-discrete inequality; Hilbert-type inequality; Hardy-Hilbert-type inequality; homogeneous kernel; the best constant; non-conjugate exponents; Beta function

Sažetak
In this paper we provide a unified treatment of half-discrete Hilbert-type inequalities with a general homogeneous kernel. The main results are proved for the case of non-conjugate exponents. A special emphasis is given to determining conditions under which these inequalities include the best possible constants. As an application, we consider some operator expressions closely connected to established inequalities. Finally, we also provide improvements of derived half-discrete inequalities by virtue of the Hermite-Hadamard inequality.

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)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

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

Profili:

Avatar Url Predrag Vuković (autor)

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Krnić, Mario; Pečarić, Josip; Vuković, Predrag
A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel // Mediterranean journal of mathematics, 10 (2013), 4; 1697-1716 doi:10.1007/s00009-013-0265-1 (međunarodna recenzija, članak, znanstveni)
Krnić, M., Pečarić, J. & Vuković, P. (2013) A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel. Mediterranean journal of mathematics, 10 (4), 1697-1716 doi:10.1007/s00009-013-0265-1.
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip and Vukovi\'{c}, Predrag}, year = {2013}, pages = {1697-1716}, DOI = {10.1007/s00009-013-0265-1}, keywords = {half-discrete inequality, Hilbert-type inequality, Hardy-Hilbert-type inequality, homogeneous kernel, the best constant, non-conjugate exponents, Beta function}, journal = {Mediterranean journal of mathematics}, doi = {10.1007/s00009-013-0265-1}, volume = {10}, number = {4}, issn = {1660-5446}, title = {A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel}, keyword = {half-discrete inequality, Hilbert-type inequality, Hardy-Hilbert-type inequality, homogeneous kernel, the best constant, non-conjugate exponents, Beta function} }
@article{article, author = {Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip and Vukovi\'{c}, Predrag}, year = {2013}, pages = {1697-1716}, DOI = {10.1007/s00009-013-0265-1}, keywords = {half-discrete inequality, Hilbert-type inequality, Hardy-Hilbert-type inequality, homogeneous kernel, the best constant, non-conjugate exponents, Beta function}, journal = {Mediterranean journal of mathematics}, doi = {10.1007/s00009-013-0265-1}, volume = {10}, number = {4}, issn = {1660-5446}, title = {A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel}, keyword = {half-discrete inequality, Hilbert-type inequality, Hardy-Hilbert-type inequality, homogeneous kernel, the best constant, non-conjugate exponents, Beta function} }

Časopis indeksira:


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

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