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Pregled bibliografske jedinice broj: 1270568

Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial


Adeel, Muhammad; Khan, Khuram Ali; Pečarić, Đilda; Pečarić, Josip
Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial // Advances in difference equations, 2020 (2020), 27, 15 doi:10.1186/s13660-020-02408-7 (međunarodna recenzija, članak, znanstveni)


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Naslov
Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial

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

Izvornik
Advances in difference equations (1687-1839) 2020 (2020); 27, 15

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

Ključne riječi
Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions

Sažetak
By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2p+1)-convex functions are obtained. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well.

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 Levinson type inequalities via new Green’s functions and Lidstone polynomial // Advances in difference equations, 2020 (2020), 27, 15 doi:10.1186/s13660-020-02408-7 (međunarodna recenzija, članak, znanstveni)
Adeel, M., Khan, K., Pečarić, Đ. & Pečarić, J. (2020) Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial. Advances in difference equations, 2020, 27, 15 doi:10.1186/s13660-020-02408-7.
@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/s13660-020-02408-7}, chapter = {27}, keywords = {Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions}, journal = {Advances in difference equations}, doi = {10.1186/s13660-020-02408-7}, volume = {2020}, issn = {1687-1839}, title = {Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial}, keyword = {Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions}, chapternumber = {27} }
@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/s13660-020-02408-7}, chapter = {27}, keywords = {Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions}, journal = {Advances in difference equations}, doi = {10.1186/s13660-020-02408-7}, volume = {2020}, issn = {1687-1839}, title = {Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial}, keyword = {Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions}, chapternumber = {27} }

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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