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Error Estimates in Interpolation Representation of the Hermite Polynomials and Application for Generalized f-Divergence
In this paper, we obtain new estimates for the error function of the Hermitian interpolating polynomial for functions in Cn[a,b]. Specifically, explicit and sharp estimates are derived over the Lp norms (for 1≤p≤∞) of the n-th derivative, taking into account the configuration of the interpolation nodes. As a direct con...