20. Let f be a continuous function with a period 27, and ao +(an cos nx + bn sin nx) 2 its Fourier series. If f (x) > 0 for every real number x, then ao > 0.

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

q.20 true or false ? 

20. Let f be a continuous function with a period 27, and
ao
Σ(an cos nx + bn sin nx)
2
its Fourier series. If f(x) > 0 for every real number x, then ao > 0.
Transcribed Image Text:20. Let f be a continuous function with a period 27, and ao Σ(an cos nx + bn sin nx) 2 its Fourier series. If f(x) > 0 for every real number x, then ao > 0.
Expert Solution
steps

Step by step

Solved in 3 steps with 13 images

Blurred answer
Similar questions
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,