Abstract:
A sufficient condition for the uniform convergence in the interval $(0, \pi)$ of interpolation processes based on the eigenfunctions of a regular Sturm–Liouville problem with a continuous bounded variation potential is obtained. The condition is formulated in terms of a one-sided modulus of continuity of a function.
Key words:sinc approximation, interpolation of functions, uniform approximation, Lagrange–Sturm–Liouville processes.
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