Iqrar ANSARİ, Khuram Ali KHAN, Ammara NOSHEEN, Dilda PECARİC, Josip PECARİC

Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional

The inequality containing Csiszár divergence on time scales is generalized for 2n2n-convex functions by using Lidstone interpolating polnomial. As an application, new entropic bounds on time scales are also computed. Several inequalities in quantum calculus and hh-discrete calculus are also established. The relationship between Shannon entropy, Kullback-Leibler divergence and Jeffreys distance with Zipf-Mandelbrot entropy are also established.

Keywords:

time scales calculus, convex function, Lidstone’s interpolating polynomial, information theory,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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