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Equisummability of certain sequences of Hadamard products of Taylor sections and interpolatory polynomials

Equisummability of certain sequences of Hadamard products of Taylor sections and interpolatory polynomials

In [1,2] the classical equiconvergence theorem of Walsh was extended by the application of summability methods in order to enlarge the disk of equiconvergence to regions of equisummability.A further generalization was achieved in [3], where sequences of Hadamard products of a fixed power series with interpolatory polynomials were considered.The aim …