State and prove Theorem 28.6 and Corollary 28.8 for an arbitrary compact interval ([a, b]). Data from
Question:
State and prove Theorem 28.6 and Corollary 28.8 for an arbitrary compact interval \([a, b]\).
Data from theorem 28.6
Data from corollary 28.8
Transcribed Image Text:
Theorem 28.6 (Weierstra) Polynomials are dense in C[0, 1] w.r.t. uniform convergence. Proof (S. N. Bernstein) Take sequence (Si)ieN of independent2 measur- able functions on ([0, 1], [0, 1], dx) which are Bernoulli (p, 1 - p)-distributed, 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
Theorem 286 The polynomials are dense in Ca b with respect to uniform convergence ...View the full answer
Answered By
Khurram shahzad
I am an experienced tutor and have more than 7 years’ experience in the field of tutoring. My areas of expertise are Technology, statistics tasks I also tutor in Social Sciences, Humanities, Marketing, Project Management, Geology, Earth Sciences, Life Sciences, Computer Sciences, Physics, Psychology, Law Engineering, Media Studies, IR and many others.
I have been writing blogs, Tech news article, and listicles for American and UK based websites.
4.90+
5+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
A compare-exchange operation on two array elements A[i] and A[j], where i < j, has the form COMPARE-EXCHANGE (A, i, j) 1 If A[i] > A[j] 2 exchange A[i] with A[j] After the compare-exchange operation,...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
In your own words, define or explain the terms or symbols (a) (b) [ ]; (c) Spectator ion; (d) Weak acid.
-
How accurately can the position of a 3.00-keV electron be measured assuming its energy is known to 1.00%?
-
Ryan, I tried to develop a better tasting cola, but people like the old taste better. However, my boss gave me a very sincere thanks for trying. Identify the type of organizational culture described...
-
Which of the following matches is performed in evaluated receipt settlement (ERS)? a. the vendor invoice with the receiving report b. the purchase order with the receiving report c. the vendor...
-
Assume you are Thomas's position and know that you have to let Jason know the correct way to convert to IFRS accounting. a. What will be the objections or pushback from Jason? b. What would you say...
-
Dont use AI or CHATGPT. You are examining the pricing of banks by the market. The current return on equity, based on aggregate net income and book equity, is 1 3 . 5 % and the cost of equity for...
-
Prove the orthogonality relations (28.4) for the trigonometric system. Equation 28.4 (-T,T) cos(jx) cos(kx) dx = (-,) L sin (lx) sin(mx) dx = (-TT) 0, , 2, if lm, T, if l=m, cos(kx) sin(x) dx=0 for...
-
Use the Gram-Schmidt orthonormalization procedure to verify the formulae for the Chebyshev, Legendre, Laguerre and Hermite polynomials given in items 28.1 -28.5.
-
Consider a dynamic system whose state-variable matrix equations are expressed as follows: The matrices \(\mathbf{A}, \mathbf{B}, \mathbf{C}\), and \(\mathbf{D}\) are given by (a) Use MATLAB to find...
-
What is Stock X's geometric returns if it has the following returns? Year 1 8% Year 2 -5% Year 3 10% Year 4 -6% Year 5 15%
-
Explain the three main types of agglomeration effects. What difficulties exist in identifying those different classifications? Which examples of industrial clusters in your region (Where you are now,...
-
How do individuals cultivate resilience in the face of adversity, drawing upon psychological, social, and neurobiological frameworks? Explain
-
State the reasons why you believe unemployment among high school graduates vs unemployment amongst college graduates (bachelor's or higher) represents a challenge for the economy?
-
TB MC Qu. 3-53 (Algo) Listed below are year-end account balances... Listed below are year-end account balances ($ in millions) taken from the records of Symphony Stores. Debit Credit Accounts...
-
From the financial statements and additional information provided in Problem 21A-1 for Danley Company, prepare a statement of cash flows using the direct method. In Problem 21A-1, from the following...
-
Determine the resultant moment produced by the forces about point O. 0.25 m 0.125 m, 0 0.3 m- 60 F = 500 N F = 600 N
-
What is the difference between a value-added activity and a non-value-added activity? Provide two examples of non-value-added activities for each of the following: a. Fast-food restaurant b. Clothing...
-
How did activity-based costing help BuyGasCo Corporation settle its predatory pricing case?
-
What did the survey of 296 users of ABC and ABM show were the top two objectives in using these systems?
-
SIP Inc. has the following sales budget for the last six months of 2021? July $350,000 August $270,000 September $380,000 October $450,000 November $480,000 December $450,000 Historically the cash...
-
3. Suppose Lincoln has $10M in marketable securities, $100M in liabilities, and 10M shares of stock.What is Lincoln's share price? Marketable Securities ($) 10 Liablilities ($) 100 Lincoln's Price...
-
If an investment of $ 1 , 0 0 0 earns simple interest of 1 0 % per annum, to how much will the investment have accumulated at the end of three years if no withdrawals are made?A . $ 1 , 3 3 1 B . $ 1...
Study smarter with the SolutionInn App