New bounds for a perturbed generalized Taylor's formula
An application of the generalized Taylor's formula, \textit{M. Matić}, \textit{J. Pečarić} and \textit{N. Ujević} [Math. Inequal. Appl. 2, No. 3, 343-361 (1999; Zbl 0933.26013)] is given. Perturbed generalized Taylor series are bounded in terms of Lebesgue \(p\)-norms on \([a,b]^2\) for \(f_\Delta:[a,b]^2\to \mathbb{R}\) with \(f_\Delta(t,s)= f(t)- f(s)\).
scientific article; zbMATH DE number 1733459