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Pregled bibliografske jedinice broj: 717691

Superadditivity of the Levinson functional and applications


Krnić, Mario; Lovričević, Neda; Pečarić, Josip
Superadditivity of the Levinson functional and applications // Periodica mathematica Hungarica, 71 (2015), 2; 166-178 doi:10.1007/s10998-015-0090-3 (međunarodna recenzija, članak, znanstveni)


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Naslov
Superadditivity of the Levinson functional and applications

Autori
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip

Izvornik
Periodica mathematica Hungarica (0031-5303) 71 (2015), 2; 166-178

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

Ključne riječi
Levinson inequality; Jensen inequality; Levinson functional; refinement; converse

Sažetak
We study the Levinson functional, constructed as a difference between the right-hand side and the left-hand side of the Levinson inequality. We show that it possesses the properties of superadditivity and monotonicity. As a consequence, we obtain mutual bounds for such functional, expressed via the non-weighted functional of the same type. In such a way, we obtain a refinement and a converse of the Levinson inequality in a difference form.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Neda Lovričević (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; Lovričević, Neda; Pečarić, Josip
Superadditivity of the Levinson functional and applications // Periodica mathematica Hungarica, 71 (2015), 2; 166-178 doi:10.1007/s10998-015-0090-3 (međunarodna recenzija, članak, znanstveni)
Krnić, M., Lovričević, N. & Pečarić, J. (2015) Superadditivity of the Levinson functional and applications. Periodica mathematica Hungarica, 71 (2), 166-178 doi:10.1007/s10998-015-0090-3.
@article{article, author = {Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2015}, pages = {166-178}, DOI = {10.1007/s10998-015-0090-3}, keywords = {Levinson inequality, Jensen inequality, Levinson functional, refinement, converse}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-015-0090-3}, volume = {71}, number = {2}, issn = {0031-5303}, title = {Superadditivity of the Levinson functional and applications}, keyword = {Levinson inequality, Jensen inequality, Levinson functional, refinement, converse} }
@article{article, author = {Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2015}, pages = {166-178}, DOI = {10.1007/s10998-015-0090-3}, keywords = {Levinson inequality, Jensen inequality, Levinson functional, refinement, converse}, journal = {Periodica mathematica Hungarica}, doi = {10.1007/s10998-015-0090-3}, volume = {71}, number = {2}, issn = {0031-5303}, title = {Superadditivity of the Levinson functional and applications}, keyword = {Levinson inequality, Jensen inequality, Levinson functional, refinement, converse} }

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


Citati:





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