Question

Show that a function f satisfies a Lipschitz condition with constant M if and only if...

Show that a function f satisfies a Lipschitz condition with constant M if and only if it is absolutely continuous and |f ' (x)|<= M almost everywhere.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An everywhere continuous function f satisfies f''(x)= x2 -4x -5. Find the intervals where f is...
An everywhere continuous function f satisfies f''(x)= x2 -4x -5. Find the intervals where f is concave up and concave down.
F(x,y) =<3x^2+ 3y^2,6xy+ 2.> Find the potential function for F that satisfies the condition f(0,1) =...
F(x,y) =<3x^2+ 3y^2,6xy+ 2.> Find the potential function for F that satisfies the condition f(0,1) = 0.
If f:R→R satisfies f(x+y)=f(x) + f(y) for all x and y and 0∈C(f), then f is...
If f:R→R satisfies f(x+y)=f(x) + f(y) for all x and y and 0∈C(f), then f is continuous everywhere.
Let f(x) be a continuous, everywhere differentiable function. What kind information does f'(x) provide regarding f(x)?...
Let f(x) be a continuous, everywhere differentiable function. What kind information does f'(x) provide regarding f(x)? Let f(x) be a continuous, everywhere differentiable function. What kind information does f''(x) provide regarding f(x)? Let f(x) be a continuous, everywhere differentiable function. What kind information does f''(x) provide regarding f'(x)? Let h(x) be a continuous function such that h(a) = m and h'(a) = 0. Is there enough evidence to conclude the point (a, m) must be a maximum or a minimum?...
Show that the function f(x, t) = x 2 + 4axt−4a 2 t 2 satisfies the...
Show that the function f(x, t) = x 2 + 4axt−4a 2 t 2 satisfies the wave equation if one assumes a certain relationship between the constant a and the wave speed u. What is this relationship?
Show that the function f(x)=x2sin(x) is uniformly continuous on [0,b] for any constant b>0, but that...
Show that the function f(x)=x2sin(x) is uniformly continuous on [0,b] for any constant b>0, but that is not uniformly continuous on [0,infinity)
Find the particular solution of the differential equation that satisfies the initial condition(s). f "(x)=2, f...
Find the particular solution of the differential equation that satisfies the initial condition(s). f "(x)=2, f '(2) = 5, f(2)=10
Show that the function ? = (? + ?) ?(??), where ? is a function whose...
Show that the function ? = (? + ?) ?(??), where ? is a function whose first order derivative is continuous, satisfies the equation (? + ?) (??x − ??y) = (? − ?)?.
Sketch the graph of a function that is continuous on (−∞,∞) and satisfies the following sets...
Sketch the graph of a function that is continuous on (−∞,∞) and satisfies the following sets of conditions. f″(x) > 0 on (−∞,−2); f″(−2) = 0; f′(−1) = f′(1) = 0; f″(2) = 0; f′(3) = 0; f″(x) > 0 on ( 4, ∞)
Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be...
Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be sure to clearly label the axes. f(x) is continuous and differentiable on its entire domain, which is (−5,∞) limx→-5^+ f(x)=∞ limx→∞f(x)=0limx→∞f(x)=0 f(−2)=−4,f′(−2)=0f(−2)=−4,f′(−2)=0 f′′(x)>0f″(x)>0 for −5<x<1−5<x<1 f′′(x)<0f″(x)<0 for x>1x>1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT