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 7,528 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 8,766 96 View

How can we describe in simple words the formal definition of the limit of a function at a point?

Students, usually, find problems in understanding the meaning of the concept of the limit of a function f at a point a. How can we in simple and easy words portray this concept and make it...

05 June 2014 3,526 46 View

Who first defined orthogonal polynomials?

It is known that Legendre and Chebyshev have contributions in the field.

28 January 2014 9,174 10 View

What is the most frequently used orthogonal polynomial over [-1,1]?

[-1,1] is the classical finite interval on which ops are defined.

28 January 2014 5,501 26 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 4,256 14 View