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Pregled bibliografske jedinice broj: 954170

Combinatorial improvement of Shannon inequality and related results


Butt, S. I.; Khan, K. A.; Pečarić, Đ.; Pečarić, J.
Combinatorial improvement of Shannon inequality and related results // Journal of Mathematical Analysis, 8 (2017), 4; 97-110 (međunarodna recenzija, članak, znanstveni)


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Naslov
Combinatorial improvement of Shannon inequality and related results

Autori
Butt, S. I. ; Khan, K. A. ; Pečarić, Đ. ; Pečarić, J.

Izvornik
Journal of Mathematical Analysis (2217-3412) 8 (2017), 4; 97-110

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

Ključne riječi
Entropy ; Zipf-Mandelbrot Law ; Kullback-Leibler distance ; Csiszar divergence ; Jensen’s inequality

Sažetak
In this paper, we establish combinatorial improvement of Shannon inequality using improved Jensen and Popoviciu inequalities. The corresponding results for the Kullback-Leibler distance, Zipf-Mandelbrot Law, Renyi entropy in with respect to Information Theory are studied as application. Finally, the related inequalities are generalized for Csiszar divergence.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Đilda Pečarić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

www.bmathaa.org

Citiraj ovu publikaciju:

Butt, S. I.; Khan, K. A.; Pečarić, Đ.; Pečarić, J.
Combinatorial improvement of Shannon inequality and related results // Journal of Mathematical Analysis, 8 (2017), 4; 97-110 (međunarodna recenzija, članak, znanstveni)
Butt, S., Khan, K., Pečarić, Đ. & Pečarić, J. (2017) Combinatorial improvement of Shannon inequality and related results. Journal of Mathematical Analysis, 8 (4), 97-110.
@article{article, author = {Butt, S. I. and Khan, K. A. and Pe\v{c}ari\'{c}, \DJ. and Pe\v{c}ari\'{c}, J.}, year = {2017}, pages = {97-110}, keywords = {Entropy, Zipf-Mandelbrot Law, Kullback-Leibler distance, Csiszar divergence, Jensen’s inequality}, journal = {Journal of Mathematical Analysis}, volume = {8}, number = {4}, issn = {2217-3412}, title = {Combinatorial improvement of Shannon inequality and related results}, keyword = {Entropy, Zipf-Mandelbrot Law, Kullback-Leibler distance, Csiszar divergence, Jensen’s inequality} }
@article{article, author = {Butt, S. I. and Khan, K. A. and Pe\v{c}ari\'{c}, \DJ. and Pe\v{c}ari\'{c}, J.}, year = {2017}, pages = {97-110}, keywords = {Entropy, Zipf-Mandelbrot Law, Kullback-Leibler distance, Csiszar divergence, Jensen’s inequality}, journal = {Journal of Mathematical Analysis}, volume = {8}, number = {4}, issn = {2217-3412}, title = {Combinatorial improvement of Shannon inequality and related results}, keyword = {Entropy, Zipf-Mandelbrot Law, Kullback-Leibler distance, Csiszar divergence, Jensen’s inequality} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)


Uključenost u ostale bibliografske baze podataka::


  • Zentrallblatt für Mathematik/Mathematical Abstracts





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