Generalized Taylor series for the class of functions H(p,m)
The class of functions from the title contains infinitely differentiable functions on [-1,1] whose derivatives satisfy certain inequality in the norm of the space C[-1,1]. The author defines the generalized Taylor series for the infinitely differentiable functions and further he constructs for the functions of the considered class the generalized Taylor expansion.
scientific article; zbMATH DE number 4202994