Abedallah M Rababah

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Questions related from Abedallah M Rababah

How can we find the polynomial of best uniform approximation that satisfies boundary conditions at the end points?

We know that the monic Chebyshev polynomial of degree n, T_n(x), has the least deviation from the origin among all polynomials of degree n. What about the polynomial of degree n that has the...

27 August 2014 7,411 15 View

What is the best method to approximate a continuous function f over [a,b]?

Based on your experience, what is the best method to represent a smooth function f? Taylor, Lagrange, Newton, Hermite, spline, parametric polynomial or trigonometric approximation? Least-squares...

14 June 2014 8,650 96 View

Since the Bernstein basis is more stable than the 1,x,x^2,x^3,... basis, why do we use the second one?

The Bernstein polynomial basis was developed by Bernstein to prove the Weierstrass theorem.

24 January 2014 4,186 14 View