Pointwise estimates of the trigonometric interpolation (Q1280257)

This paper extends the theme of our article [J. Approximation Theory 77, No. 1, 31-41 (1994; Zbl 0809.41001)] in which we have investigated the remainder of the interpolation of a function \(f\) on a segment \([a,b]\) by algebraic polynomials \(p(f; \cdot )\) at the nodes \(x_i \in [a,b]\) of multiplicity \(r_i\), \(i=1,\dots,n\). We now investigate, the interpolation by trigonometric polynomials.