non riemann integral

[dopey9]

Does any one know an example of a function f such that the limit of T(f,D[n]) as n goes to infinity exists, but f is not Riemann integral?

 

[pka]

What is T(f,D[n])?

 

[dopey9]

What is T(f,D[n])?

T is the trapezoids and D is disection and f is the bounded function

 

[stapel]

T is the trapezoids and D is disection and f is the bounded function

"The" trapezoids? Which trapezoids did you have in mind?

"Dissection"? What does this mean?

"...f is not Riemann integral"? Do you mean "not Riemann-integrable"?

Thank you.

Eliz.

 

[dopey9]

soory but thankz

T is the trapezoids and D is disection and f is the bounded function

"The" trapezoids? Which trapezoids did you have in mind?

"Dissection"? What does this mean?

"...f is not Riemann integral"? Do you mean "not Riemann-integrable"?

Thank you.

Eliz.

hey thankz for your help but its awite ...this question is very complicated and goes into too much depth...so im going to leave it out thankz tho ...soorry bout that

 

[marcmtlca]

howabout the function F(x) which is 1 when x is rational and 0 when it is not.

 

[daon]

howabout the function F(x) which is 1 when x is rational and 0 when it is not.

My professor LOVEs Dirichlet's function (why? I'm not too sure). He went on about it for days and every now and then he mentions it.