Let f and g be affine functionals on a linear space X, and let S X be a convex set on which g(x) 0 The function is both quasi concave and quasi convex on S h(x) g(x)...

t here exist linear functionals and and scalars and such that x x and x x The up ...

Let f and g be affine functionals on a linear space X, and let S X be

Question:

Let f and g be affine functionals on a linear space X, and let S Š† X be a convex set on which g(x) ‰ 0. The function

is both quasi concave and quasi convex on S.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:42 AM

See More Questions

Let g1, g, . . . , gm be linear functionals on a linear space X. For fixed numbers cj, the systems of equations gj(x) = cj, j = 1, 2, . . . ,m is consistent if and only if for every set of numbers...
Let f, g1, g2, ..., gm be linear functionals on a linear space X. f is linearly dependent on g1, g2, ..., gm, that is, f lin g1, g2, ..., gm if and only if kernel gj S kernel f
Let F and g be function such that 0 ¤ F(x) ¤ G(x) for all x near c, except possibly at c. Prove that if Then lim G(x)0, lim F(x) 0.
1.Alice is your long-term friend from high school. Alice was typically quieter in the group, but she was well liked amongst your peers. In high school she began to come out of her shell a little...
Use the forecast errors given here to compute MAD and MSE. Discuss the information yielded by each type of error measurement. Period e 1 ..........2.3 2 ..........1.6 3 ..........-1.4 4 ..........1.1...
What characterizes the discovery and exploitation subprocesses respectively?
The following information was obtained in an audit of the cash account of Tuck Company as of December 31, 19X0. Assume that the CPA has satisfied himself as to the validity of the cash book, the bank...
Wildwood Nursery, with an authorization of 50,000 shares of preferred stock and 400,000 shares of common stock, completed several transactions involving its stock on June1, the first day of...
Find current news article (within the last year) which discusses lean logistics in the global economy. Provide a brief (word summary of that article). Highlight how the concepts covered within that...
a. To simplify the analysis, assume for now that there is virtually no turnaround time between flights so the next flight can begin as soon as the current flight ends. (If an immediate next flight is...
Show that a linear function maps subspaces to subspaces, and vice versa. That is, if S is a subspace of X, then f (S) is a subspace of Y; if T is a subspace of Y, then f-1(T) is a subspace of X.
Let f and g be strictly positive definite functions on a convex set S with f concave and g convex. Then is quasi concave on S. h(x)= g(x)
Bond Returns What is the historical real return on long-term government bonds on long-term corporate bonds?
Given the following probabilities and returns for Tenaga Nasional Berhad, find the standard deviation. PROBABILITY 0.35 RETURN 8% 3% 0.20 0.20 20% 0.25 15%
Donna, a chartered financial analyst in London, United Kingdom, is wanting to invest in securities listed on the Alternative Investment Market (AIM) which is the London Stock Exchanges sub-market...
a. From the price data here, compute the holding-period returns for Temasek Holdings and SingTel for periods 2 through 4. b. How would you interpret the meaning of a holding period return? PERIOD...
A wetted-wall column consists of a vertical solid cylinder, 2.5 cm in diameter and 10.0 cm tall. Pure water at 25C flows down the outer surface of the cylinder at the rate of 10.0 cm 3 /s. The column...
If you havent already done so, compile programs TCPEchoServer and TCPEchoClient from Sect. 2.2.1 and then run them as described at the end of that section. Sect. 2.2.1 A communication link created...
Review reporting requirements in relation to disclosure of related party transactions and discuss their adequacy in relation to the avoidance of conflicts of interest.
A company pledges their receivables so they may Multiple Choice Charge a factoring fee. Increase sales. Recognize a sale. Collect a pledge fee. Borrow money. Failure by a promissory notes' maker to...
Using the method for the hint in Exercise 22, show that r indistinguishable objects can be put in n boxes in Different ways
A drug is assumed to be effective with an unknown probability p. To estimate p the drug is given to n patients. It is found to be effective for m patients. The method of maximum likelihood for...
Prove the following binomial identity Consider an urn with n red balls and n blue balls inside. Show that each side of the equation equals the number of ways to choose n balls from the urn. (:)- . (2...
Go into depth about the topic: Do women in the workplace still have to tolerate sexual harassment to advance or maintain their job positions? Why or why not? THE SCENARIO: You are human resource...
A pile group consists of nine friction piles in clay soil (see Figure 10-40). The diameter of each pile is 16 in., and the embedded length is 30 ft each. Center-to-center pile spacing is 4 ft. Soil...
Honest to Goodness Merchandising was registered as a Single Proprietorship by May Mendoza, the owner in the Department of Trade and Industry. Selected transactions for the month of July, 2019 are...

Let f and g be affine functionals on a linear space X, and let S X be

Question:

h(x) = g(x)

Step by Step Answer:

t here exist linear functionals and and scalars and such that x x and x x The up...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions