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Pregled bibliografske jedinice broj: 1105909

Aproximating f-difergence via Hermite interpolating polynomial


Pečarić, Đ; Pečarić, J; Vukelić, A
Aproximating f-difergence via Hermite interpolating polynomial // Inequalities and Zipf-Mandelbrot Law / Pečarić, Đ ; Pečarić, J (ur.).
Zagreb: Element, 2019. str. 45-60


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Naslov
Aproximating f-difergence via Hermite interpolating polynomial

Autori
Pečarić, Đ ; Pečarić, J ; Vukelić, A

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Inequalities and Zipf-Mandelbrot Law

Urednik/ci
Pečarić, Đ ; Pečarić, J

Izdavač
Element

Grad
Zagreb

Godina
2019

Raspon stranica
45-60

ISBN
978-953-197-670-1

Ključne riječi
Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law.
(Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law)

Sažetak
In this paper we introduce a new functional based on the fdivergence functional, and then we obtain some estimates for two special cases. We use the Cauchy’s error representation of Hermite interpolating polynomial and the results concerning to the Hermite-Hadamard inequalities are presented. Zipf-Mandelbrot law is used to illustrate the results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb

Profili:

Avatar Url Ana Vukelić (autor)

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Pečarić, Đ; Pečarić, J; Vukelić, A
Aproximating f-difergence via Hermite interpolating polynomial // Inequalities and Zipf-Mandelbrot Law / Pečarić, Đ ; Pečarić, J (ur.).
Zagreb: Element, 2019. str. 45-60
Pečarić, Đ., Pečarić, J. & Vukelić, A. (2019) Aproximating f-difergence via Hermite interpolating polynomial. U: Pečarić, Đ. & Pečarić, J. (ur.) Inequalities and Zipf-Mandelbrot Law. Zagreb, Element, str. 45-60.
@inbook{inbook, author = {Pe\v{c}ari\'{c}, \DJ and Pe\v{c}ari\'{c}, J and Vukeli\'{c}, A}, year = {2019}, pages = {45-60}, keywords = {Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law.}, isbn = {978-953-197-670-1}, title = {Aproximating f-difergence via Hermite interpolating polynomial}, keyword = {Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law.}, publisher = {Element}, publisherplace = {Zagreb} }
@inbook{inbook, author = {Pe\v{c}ari\'{c}, \DJ and Pe\v{c}ari\'{c}, J and Vukeli\'{c}, A}, year = {2019}, pages = {45-60}, keywords = {Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law}, isbn = {978-953-197-670-1}, title = {Aproximating f-difergence via Hermite interpolating polynomial}, keyword = {Hermite interpolating polynomial, Hermite-Hadamard inequality, Csiszar f-divergence, Kullback-Leibler divergence, Shannon entropy, Zipf-Mandelbrot law}, publisher = {Element}, publisherplace = {Zagreb} }




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