A Generalization of Divided Differences and Applications

Mohammad Masjed-Jamei, Gradimir Milovanovic, Zahra Moalemi


In this paper, we introduce a generalization of divided differences and apply them for constructing a new class of interpolation formulae. By studying the existence and uniqueness of
the introduced class, we also consider some special cases of it and investigate the interpolating function corresponding to this class at coincident points leading to an extension of Taylor interpolation. Some numerical examples are also included.

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