Equisummability of certain sequences of Hadamard products of Taylor sections and interpolatory polynomials (Q1918465)

In recent years, a classical theorem of J. L. Walsh concerning the equiconvergence of Lagrange interpolatory polynomials and partial sums of power series expansions has been extended in several directions. One possible direction consists in the investigation of more general interpolatory polynomials, another in the application of summability methods in order to enlarge the disk of equiconvergence to regions of equisummability. The paper continues previous work of the authors which combines both of the above ways of extending the Walsh equiconvergence theorem.