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Pregled bibliografske jedinice broj: 1123131

Superquadratic functions in information theory


Barić, Josipa; Pečarić, Đilda; Pečarić, Josip
Superquadratic functions in information theory // Journal of mathematical inequalities, 14 (2020), 4; 1321-1331 doi:dx..org/10.7153/jmi-2020-14-85 (međunarodna recenzija, članak, znanstveni)


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Naslov
Superquadratic functions in information theory

Autori
Barić, Josipa ; Pečarić, Đilda ; Pečarić, Josip

Izvornik
Journal of mathematical inequalities (1846-579X) 14 (2020), 4; 1321-1331

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

Ključne riječi
superquadratic function ; Jensen's inequality ; Shannon entropy ; Zipf-Mandelbrot's law

Sažetak
Using Jensen's inequality and the converse Jensen's inequality for superquadratic functions we obtain new estimates for Shannon's entropy of the random variable X and derive new lower and upper bounds for the Shannon entropy in the terms of the Zipf and Zipf - Mandelbrot's law.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Katolički bogoslovni fakultet, Zagreb

Profili:

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)

Avatar Url Josipa Barić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Barić, Josipa; Pečarić, Đilda; Pečarić, Josip
Superquadratic functions in information theory // Journal of mathematical inequalities, 14 (2020), 4; 1321-1331 doi:dx..org/10.7153/jmi-2020-14-85 (međunarodna recenzija, članak, znanstveni)
Barić, J., Pečarić, Đ. & Pečarić, J. (2020) Superquadratic functions in information theory. Journal of mathematical inequalities, 14 (4), 1321-1331 doi:dx..org/10.7153/jmi-2020-14-85.
@article{article, author = {Bari\'{c}, Josipa and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip}, year = {2020}, pages = {1321-1331}, DOI = {dx.doi.org/10.7153/jmi-2020-14-85}, keywords = {superquadratic function, Jensen's inequality, Shannon entropy, Zipf-Mandelbrot's law}, journal = {Journal of mathematical inequalities}, doi = {dx.doi.org/10.7153/jmi-2020-14-85}, volume = {14}, number = {4}, issn = {1846-579X}, title = {Superquadratic functions in information theory}, keyword = {superquadratic function, Jensen's inequality, Shannon entropy, Zipf-Mandelbrot's law} }
@article{article, author = {Bari\'{c}, Josipa and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip}, year = {2020}, pages = {1321-1331}, DOI = {dx.doi.org/10.7153/jmi-2020-14-85}, keywords = {superquadratic function, Jensen's inequality, Shannon entropy, Zipf-Mandelbrot's law}, journal = {Journal of mathematical inequalities}, doi = {dx.doi.org/10.7153/jmi-2020-14-85}, volume = {14}, number = {4}, issn = {1846-579X}, title = {Superquadratic functions in information theory}, keyword = {superquadratic function, Jensen's inequality, Shannon entropy, Zipf-Mandelbrot's law} }

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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