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Pregled bibliografske jedinice broj: 404565

Refinements of Hilbert's inequality involving the Laplace transform


Pečarić, Josip; Perić, Ivan; Vuković, Predrag
Refinements of Hilbert's inequality involving the Laplace transform // Tamsui Oxford University journal of mathematical sciences, 25 (2009), 1; 71-85 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
Refinements of Hilbert's inequality involving the Laplace transform

Autori
Pečarić, Josip ; Perić, Ivan ; Vuković, Predrag

Izvornik
Tamsui Oxford University journal of mathematical sciences (1561-8307) 25 (2009), 1; 71-85

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

Ključne riječi
Hilbert's inequality; Conjugate exponents; Non-conjugate exponents; The Laplace transform; The beta function; The gamma function

Sažetak
In this paper generalizations of Peachey's results which refine some known Hilbert's inequalities in the sense that they interpolate Lebesgue norms of the Laplace transforms of the functions involved in the inequalities are obtained. Cases of conjugate exponents are considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
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:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Učiteljski fakultet, Zagreb

Profili:

Avatar Url Predrag Vuković (autor)

Avatar Url Ivan Perić (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Pečarić, Josip; Perić, Ivan; Vuković, Predrag
Refinements of Hilbert's inequality involving the Laplace transform // Tamsui Oxford University journal of mathematical sciences, 25 (2009), 1; 71-85 (podatak o recenziji nije dostupan, članak, znanstveni)
Pečarić, J., Perić, I. & Vuković, P. (2009) Refinements of Hilbert's inequality involving the Laplace transform. Tamsui Oxford University journal of mathematical sciences, 25 (1), 71-85.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Vukovi\'{c}, Predrag}, year = {2009}, pages = {71-85}, keywords = {Hilbert's inequality, Conjugate exponents, Non-conjugate exponents, The Laplace transform, The beta function, The gamma function}, journal = {Tamsui Oxford University journal of mathematical sciences}, volume = {25}, number = {1}, issn = {1561-8307}, title = {Refinements of Hilbert's inequality involving the Laplace transform}, keyword = {Hilbert's inequality, Conjugate exponents, Non-conjugate exponents, The Laplace transform, The beta function, The gamma function} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Vukovi\'{c}, Predrag}, year = {2009}, pages = {71-85}, keywords = {Hilbert's inequality, Conjugate exponents, Non-conjugate exponents, The Laplace transform, The beta function, The gamma function}, journal = {Tamsui Oxford University journal of mathematical sciences}, volume = {25}, number = {1}, issn = {1561-8307}, title = {Refinements of Hilbert's inequality involving the Laplace transform}, keyword = {Hilbert's inequality, Conjugate exponents, Non-conjugate exponents, The Laplace transform, The beta function, The gamma function} }

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