Question: Let a polynomial p Pn be given by a finite Chebyshev series and let x [1,1] be given. Show that p(x) can be evaluated by

Let a polynomial p Pn be given by a finite Chebyshev series and let x [1,1] be given. Show that p(x) can be evaluated by the following process. Set un+1 = 0 and un = an and uk =2xuk+1 uk+2 +ak, k=n1,n2,...,0. Then p(x)= 1(a0 +u0 u2).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The folowing are independent situations. . A company orders and receives 10 personal computers for office use for which it signs a note promising to pay $20,000 within three months b. A company...

Question: Considering both the probability value and effect size measure, what interpretations would you make about the findings? That is, what are your conclusions about the effects of leaving happy...

MTH 525 Introduction to Mathematical Statistics Spring 2017 Problem Set # 1 This problem set is due on Thursday, February 2, 2017 at the beginning of class. 1. Let X1 , X2 , . . . be a sequence of...

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

Math 104A Homework #2 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

The following accounts were taken from the financial statements of Giles Company. ________ Interest revenue ________ Owners capital ________ Utilities payable ________ Accumulated...

Xian Company had a margin of safety ratio of 20%, variable costs of 60% of sales, fixed costs of P240,000, a break-even point of P600,000, and an operating income of P60,000 for the current year. How...

can someone help me apply these changes ? - the beginning balance of the federal tax expense would be ( 2 0 0 , 0 0 0 ) Show all images Show all images Show all images done loading

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.