Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals (CROSBI ID 325356)
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Podaci o odgovornosti
Khan, Khuram Ali ; Niaz, Tasadduq ; Pečarić, Ðilda ; Pečarić, Josip
engleski
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals
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
m-Convex function, Jensen’s inequality, Shannon entropy, f- and Rényi divergence, Hermite polynomial, Entropy
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