Solution-Find the convex function, Generalize the above

Find the convex function

Reference no: EM13891098

(a) Show that if f : R → R and g : R → R are convex functions then max{f, g} is also a convex function.

(b) Generalize the above result to show that if {fi; i ∈ I} is a family of convex functions and supi ∈ I fi(x) ∞ for every x then supi∈I fi is also a convex function.

Conclude that if H : R → R is a function then there exists the largest convex function G such that G(x) ≤ H(x) for every x.

Reference no: EM13891098

Questions Cloud

Find the optimal auction amongst the class : Suppose we have private values but types are correlated. Find the optimal auction amongst the class of all-pay auctions.

The united states approached its bicentennial year : As the United States approached its Bicentennial year in 1976, Major League Baseball continued to celebrate itself as quintessentially American. It what ways did baseball represent what America had achieved and had left to achieve by the mid to late..

Discuss briefly the concept of why telecommunications : Explain and discuss briefly the concept of why telecommunications technologies are to some degree substitutable

Who is the golden horde and what did they do in history : Who is the golden horde and what did they do in history?

Find the convex function : Generalize the above result to show that if {fi; i ∈ I} is a family of convex functions and supi ∈ I fi(x) ∞ for every x then supi∈I fi is also a convex function.

Calculate the loan proceeds made available to powell : Calculate the loan proceeds made available to Powell and use the horizontal model (or write the journal entry) to show the effect of signing the note and the receipt of the cash proceeds on April 15, 2013.

How does the development of the learning contract parallel : How does the development of the learning contract parallel other documents used in the social work process? I.e Some process I have used other than my learning contract to get a system going is:Attend lectures

How much interest will be paid annually on the given bonds : How much interest will be paid annually on these bonds? Will the annual interest expense on these bonds be more than, equal to, or less than the amount of interest paid each year?

Product of functions with the monotone likelihood ratio : Prove that the product of functions with the monotone likelihood ratio property also has the multivariate monotone likelihood ratio property.

User Account

All Pages

Find the convex function

Reference no: EM13891098

Reference no: EM13891098

Questions Cloud

Reviews

Write a Review

Basic Statistics Questions & Answers

A building has ten floors plus a basement if 12 people get

How to reject auto maker-s claim mean gas mileage

Paired groupings of the two column

For the past three years an insurance company has stated

Do a dot plot of the absorbency data using only the values

A sample of 25 novels has a standard deviation of 9 pages

To perform a certain type of blood analysis lab

If the probability is 01 that a person will make a mistake

An irate student complained that the cost of textbooks was

Find sample mean and the population mean is less

Evaluating exponential functions

Let x denote the amount of time in hours a book on two-hour

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT