5 Results Found

In this paper, we obtain new estimates for the error function of the Hermitian interpolating polynomial for functions in $C^n[a,b]$. Specifically, explicit and sharp estimates are derived over the $L_p$ norms (for $1\le p\le \infty$) of the n-th derivative,...

This paper proposes a new approach to the seismic blind deconvolution problem in the case of band-limited seismic data characterized by low dominant frequency and short data records, based on Csiszár’s f-divergence. In order to model the probability...

We reverse engineer entropy formulas from entropic divergence, optimized to given classes of probability distribution function (PDF) evolution dynamical equation. For linear dynamics of the distribution function, the traditional Kullback–Leible...

In this paper, we introduce new divergences called Jensen–Sharma–Mittal and Jeffreys–Sharma–Mittal in relation to convex functions. Some theorems, which give the lower and upper bounds for two new introduced divergences, are p...

Extropy, the complementary dual of Shannon entropy, has Rényi and Tsallis generalizations. For finite discrete distributions, a general asymptotic theory for plug-in estimators of functionals $F\left(\mathbf{p}\right)={\sum }_i\varphi \left(p_i\right)$ is available in an arXiv prep...