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Pregled bibliografske jedinice broj: 1027003

About the sharpness of the Jensen inequality


Pečarić, Đilda; Pečarić, Josip; Rodić, Mirna
About the sharpness of the Jensen inequality // Journal of inequalities and applications, 2018 (2018), 337, 12 doi:10.1186/s13660-018-1923-4 (međunarodna recenzija, članak, znanstveni)


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Naslov
About the sharpness of the Jensen inequality

Autori
Pečarić, Đilda ; Pečarić, Josip ; Rodić, Mirna

Izvornik
Journal of inequalities and applications (1029-242X) 2018 (2018); 337, 12

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

Ključne riječi
Green function ; Jensen’s inequality ; f-divergence ; Entropy ; Zipf–Mandelbrot law

Sažetak
The main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considering the case of the real Stieltjes measure, not necessarily positive. Finally, some applications involving various types of f-divergences and Zipf–Mandelbrot law are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb

Profili:

Avatar Url Đilda Pečarić (autor)

Avatar Url Mirna Rodić (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Pečarić, Đilda; Pečarić, Josip; Rodić, Mirna
About the sharpness of the Jensen inequality // Journal of inequalities and applications, 2018 (2018), 337, 12 doi:10.1186/s13660-018-1923-4 (međunarodna recenzija, članak, znanstveni)
Pečarić, Đ., Pečarić, J. & Rodić, M. (2018) About the sharpness of the Jensen inequality. Journal of inequalities and applications, 2018, 337, 12 doi:10.1186/s13660-018-1923-4.
@article{article, year = {2018}, pages = {12}, DOI = {10.1186/s13660-018-1923-4}, chapter = {337}, keywords = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-018-1923-4}, volume = {2018}, issn = {1029-242X}, title = {About the sharpness of the Jensen inequality}, keyword = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law}, chapternumber = {337} }
@article{article, year = {2018}, pages = {12}, DOI = {10.1186/s13660-018-1923-4}, chapter = {337}, keywords = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-018-1923-4}, volume = {2018}, issn = {1029-242X}, title = {About the sharpness of the Jensen inequality}, keyword = {Green function, Jensen’s inequality, f-divergence, Entropy, Zipf–Mandelbrot law}, chapternumber = {337} }

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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