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Pregled bibliografske jedinice broj: 1271270

Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial


Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Đilda; Pečarić, Josip
Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial // Journal of inequalities and applications, 2020 (2020), 1; 137, 15 doi:10.1186/s13660-020-02403-y (međunarodna recenzija, članak, znanstveni)


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Naslov
Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial

Autori
Adeel, Muhammad ; Khan, Khuram Ali ; Pečarić, Đilda ; Pečarić, Josip

Izvornik
Journal of inequalities and applications (1025-5834) 2020 (2020), 1; 137, 15

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

Ključne riječi
Information theory ; Levinson’s Inequality ; Convex functions

Sažetak
Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of \mathfrak{;n};-convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed.

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:

Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Đilda; Pečarić, Josip
Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial // Journal of inequalities and applications, 2020 (2020), 1; 137, 15 doi:10.1186/s13660-020-02403-y (međunarodna recenzija, članak, znanstveni)
Adeel, M., Khan, K., Pečarić, Đ. & Pečarić, J. (2020) Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial. Journal of inequalities and applications, 2020 (1), 137, 15 doi:10.1186/s13660-020-02403-y.
@article{article, author = {Adeel, Muhammad and Khan, Khuram Ali and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip}, year = {2020}, pages = {15}, DOI = {10.1186/s13660-020-02403-y}, chapter = {137}, keywords = {Information theory, Levinson’s Inequality, Convex functions}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-020-02403-y}, volume = {2020}, number = {1}, issn = {1025-5834}, title = {Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial}, keyword = {Information theory, Levinson’s Inequality, Convex functions}, chapternumber = {137} }
@article{article, author = {Adeel, Muhammad and Khan, Khuram Ali and Pe\v{c}ari\'{c}, \DJilda and Pe\v{c}ari\'{c}, Josip}, year = {2020}, pages = {15}, DOI = {10.1186/s13660-020-02403-y}, chapter = {137}, keywords = {Information theory, Levinson’s Inequality, Convex functions}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-020-02403-y}, volume = {2020}, number = {1}, issn = {1025-5834}, title = {Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial}, keyword = {Information theory, Levinson’s Inequality, Convex functions}, chapternumber = {137} }

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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