On the remainder term of the Lagrange interpolation formula

Abstract

In view of the simplicity of the analytical tools required for the proofs and the absence of any need to study an extensive body of literature on the subject, the problem of finding various forms of the remainder for the Lagrange and Newton interpolation formulas could be of particular interest to those embarking on mathematical research for the first time. It is therefore proposed to these individuals as a topic for independent work, one that is not of a compilatory nature.

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