An interpolation process with Hermite-Fejér boundary conditions on the unit circleS. Iqram, S. BahadurThis research article seeks to rigorously examine the approximation achieved through interpolation with Hermite-Fejér boundary conditions on the unit circle. The nodal system is comprised of the vertically projected zeros of the Jacobi polynomial onto the unit circle, with boundary points at ±1. Additionally, convergence is demonstrated by analyzing analytic functions within a suitable domain, supported by various numerical experiments.Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 67-78 |