Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 1270562

Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals


Khan, Khuram Ali; Niaz, Tasadduq; Pečarić, Ðilda; Pečarić, Josip
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals // The Journal of Analysis, 29 (2021), 15-46 doi:10.1007/s41478-020-00245-x (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1270562 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals

Autori
Khan, Khuram Ali ; Niaz, Tasadduq ; Pečarić, Ðilda ; Pečarić, Josip

Izvornik
The Journal of Analysis (2367-2501) 29 (2021); 15-46

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

Ključne riječi
m-Convex function, Jensen’s inequality, Shannon entropy, f- and Rényi divergence, Hermite polynomial, Entropy

Sažetak
We estimated the different entropies like Shannon entropy, Rényi divergences, Csiszar divergence by using the Jensen’s type functionals. The Zipf’s mandelbrot law and hybrid Zipf’s mandelbrot law are used to estimate the Shannon entropy. Further the Hermite interpolating polynomial is used to generalize the new inequalities for m-convex function

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti



POVEZANOST RADA


Ustanove:
Hrvatsko katoličko sveučilište, Zagreb

Profili:

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Khan, Khuram Ali; Niaz, Tasadduq; Pečarić, Ðilda; Pečarić, Josip
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals // The Journal of Analysis, 29 (2021), 15-46 doi:10.1007/s41478-020-00245-x (međunarodna recenzija, članak, znanstveni)
Khan, K., Niaz, T., Pečarić, Ð. & Pečarić, J. (2021) Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals. The Journal of Analysis, 29, 15-46 doi:10.1007/s41478-020-00245-x.
@article{article, author = {Khan, Khuram Ali and Niaz, Tasadduq and Pe\v{c}ari\'{c}, \DHilda and Pe\v{c}ari\'{c}, Josip}, year = {2021}, pages = {15-46}, DOI = {10.1007/s41478-020-00245-x}, keywords = {m-Convex function, Jensen’s inequality, Shannon entropy, f- and R\'{e}nyi divergence, Hermite polynomial, Entropy}, journal = {The Journal of Analysis}, doi = {10.1007/s41478-020-00245-x}, volume = {29}, issn = {2367-2501}, title = {Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals}, keyword = {m-Convex function, Jensen’s inequality, Shannon entropy, f- and R\'{e}nyi divergence, Hermite polynomial, Entropy} }
@article{article, author = {Khan, Khuram Ali and Niaz, Tasadduq and Pe\v{c}ari\'{c}, \DHilda and Pe\v{c}ari\'{c}, Josip}, year = {2021}, pages = {15-46}, DOI = {10.1007/s41478-020-00245-x}, keywords = {m-Convex function, Jensen’s inequality, Shannon entropy, f- and R\'{e}nyi divergence, Hermite polynomial, Entropy}, journal = {The Journal of Analysis}, doi = {10.1007/s41478-020-00245-x}, volume = {29}, issn = {2367-2501}, title = {Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals}, keyword = {m-Convex function, Jensen’s inequality, Shannon entropy, f- and R\'{e}nyi divergence, Hermite polynomial, Entropy} }

Časopis indeksira:


  • Scopus


Citati:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font