u. vE=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![E =
{u: [0, 7] → Rª | u is absolutely continuous,
le (0) = u(T). ù € L²([0, 7]. R')}
with the inner product
f′ [(ù(1), v (1)) + (u(1), v(1))]dr
for all u, v € E where (...) denotes the inner product in RN. The corresponding norm
is defined by
||lu|| £ = √² (là(1)³² + \u(1)|²)dt, V u € E.
My question is why is norm defined in
this way, please clarify
AU. VYE=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F367f220f-d510-4e2e-a1c2-b82b3187e8c9%2F637becd2-fabc-474f-afcd-af4fd32c8c71%2Ft9x4pki_processed.jpeg&w=3840&q=75)
Transcribed Image Text:E =
{u: [0, 7] → Rª | u is absolutely continuous,
le (0) = u(T). ù € L²([0, 7]. R')}
with the inner product
f′ [(ù(1), v (1)) + (u(1), v(1))]dr
for all u, v € E where (...) denotes the inner product in RN. The corresponding norm
is defined by
||lu|| £ = √² (là(1)³² + \u(1)|²)dt, V u € E.
My question is why is norm defined in
this way, please clarify
AU. VYE=
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