On a Pointwise Convergence of Quasi-Periodic-Rational Trigonometric Interpolation

Figure 1

The graphs of the absolute errors |𝑅^𝑝_256,𝑚(𝑓,𝑥)| on interval [−0.7,0.7] for 𝑚=2 and 𝑝=4 when 𝜏_𝑘=𝑘 (a) and with optimal 𝜏_𝑘 (see (94)) (b) while interpolating (90).

(a)

(b)