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| \mathscr{L}_4(z)-f(z) | $ for \theta\in[0,2\pi) and $ n=4 .

| \mathscr{L}_4(z)-f(z) | $ for \theta\in[0,2\pi) and $ n=4 .

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An arbitrary point z and the nodal system Z_n
| f(e^{i\theta}) | and |\mathscr{L}_2(e^{i\theta})| for...
| \mathscr{L}_2(z)-f(z) | for \theta\in[0,2\pi) and n=2
| f(e^{i\theta}) | and | \mathscr{L}_4(e^{i\theta}) | for...
+8 | \mathscr{L}_4(z)-f(z) | $ for \theta\in[0,2\pi) and $ n=4 .
Convergence of Lagrange interpolation on the non uniform nodes on the unit circle
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  • Jun 2022
This research article aims to staunchly study the approximation using Lagrange interpolation on the unit circle. Nodal system constitutes the vertically projected zeros of Jacobi polynomial onto the unit circle with boundary points at ±1. Moreover, convergence is obtained by considering analytic functions on a suitable domain accompanied by some nu...
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