Pregled bibliografske jedinice broj: 966325
New Bounds For Shannon, Relative And Mandelbrot Entropies Via Hermite Interpolating Polynomial
New Bounds For Shannon, Relative And Mandelbrot Entropies Via Hermite Interpolating Polynomial // Demonstratio mathematica, 2018 (2018), 51; 112-130 doi:10.1515/dema-2018-0011 (međunarodna recenzija, članak, znanstveni)
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Naslov
New Bounds For Shannon, Relative And Mandelbrot Entropies Via Hermite Interpolating Polynomial
Autori
Butt, Saad Ihsan ; Mehmood, Nasir ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Demonstratio mathematica (0420-1213) 2018
(2018), 51;
112-130
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
n-convex function ; Hermite interpolating polynomial ; new Green functions ; Shannon entropy ; Relative entropy ; Zipf-Mandelbrot entropy
Sažetak
To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf- Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, biology and economics, etc. We consider discrete and continuous cyclic refinements of Jensen’s inequality and extend them from convex function to higher order convex function by means of different new Green functions by employing Hermite interpolating polynomial whose error term is approximated by Peano’s kernal. As an application of our obtained results, we give new bounds for Shannon, Relative and Zipf-Mandelbrot entropies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
