Let f: [a, b] → R be absolutely continuous and let Tƒ be its total variance. Then T₁₁ f+ = T₁+f₁ f = Tf - f Tf, 2 2 are non-decreasing and absolutely continuous on [a, b].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

35.

Subject : - Advanced Math

 
Let f: [a, b] → R be absolutely continuous and let Tƒ be its total variance. Then
T₁₁ ƒ+ = T₁+f₁ f¯ =
Tf - f
Tf, ft
2
2
are non-decreasing and absolutely continuous on [a, b].
Transcribed Image Text:Let f: [a, b] → R be absolutely continuous and let Tƒ be its total variance. Then T₁₁ ƒ+ = T₁+f₁ f¯ = Tf - f Tf, ft 2 2 are non-decreasing and absolutely continuous on [a, b].
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,