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Pregled bibliografske jedinice broj: 1027007

Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law


Pečarić, Đilda; Pečarić, Josip; Pokaz, Dora; Rodić, Mirna
Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law // Inequalities and Zipf-Mandelbrot law / Selected topics in information theory, Monographs in inequalities 15 / Pečarić, Đilda ; Pečarić, Josip (ur.).
Zagreb: Element, 2019. str. 287-312


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Naslov
Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law

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

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Inequalities and Zipf-Mandelbrot law / Selected topics in information theory, Monographs in inequalities 15

Urednik/ci
Pečarić, Đilda ; Pečarić, Josip

Izdavač
Element

Grad
Zagreb

Godina
2019

Raspon stranica
287-312

ISBN
978-953-197-670-1

Ključne riječi
Green function ; Jensen inequality ; f-divergence ; Zipf-Mandelbrot law

Sažetak
Here we present different inequalities of Jensen-type for generalized f-divergences such as generalized Csiszár f-divergence, generalized Kullbach-Leibler, Hellinger, Rényi and $\chi^2$ divergence, as well as for the generalized Shannon entropy. The applications on the Zipf-Mandelbrot law, which is one specific kind of probability distributions, are also 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 Josip Pečarić (autor)

Avatar Url Dora Pokaz (autor)


Citiraj ovu publikaciju:

Pečarić, Đilda; Pečarić, Josip; Pokaz, Dora; Rodić, Mirna
Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law // Inequalities and Zipf-Mandelbrot law / Selected topics in information theory, Monographs in inequalities 15 / Pečarić, Đilda ; Pečarić, Josip (ur.).
Zagreb: Element, 2019. str. 287-312
Pečarić, Đ., Pečarić, J., Pokaz, D. & Rodić, M. (2019) Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law. U: Pečarić, Đ. & Pečarić, J. (ur.) Inequalities and Zipf-Mandelbrot law / Selected topics in information theory, Monographs in inequalities 15. Zagreb, Element, str. 287-312.
@inbook{inbook, author = {Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip and Pokaz, Dora and Rodi\'{c}, Mirna}, year = {2019}, pages = {287-312}, keywords = {Green function, Jensen inequality, f-divergence, Zipf-Mandelbrot law}, isbn = {978-953-197-670-1}, title = {Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law}, keyword = {Green function, Jensen inequality, f-divergence, Zipf-Mandelbrot law}, publisher = {Element}, publisherplace = {Zagreb} }
@inbook{inbook, author = {Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip and Pokaz, Dora and Rodi\'{c}, Mirna}, year = {2019}, pages = {287-312}, keywords = {Green function, Jensen inequality, f-divergence, Zipf-Mandelbrot law}, isbn = {978-953-197-670-1}, title = {Jensen-type inequalities for generalized f-divergence and Zipf-Mandelbrot law}, keyword = {Green function, Jensen inequality, f-divergence, Zipf-Mandelbrot law}, publisher = {Element}, publisherplace = {Zagreb} }




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