1 x 1 the right hand sides are independent of t and therefore 1 1...
70.2K
Verified Solution
Link Copied!
Question
Algebra
1 x 1 the right hand sides are independent of t and therefore 1 1 Ouniformly on 1 1 1 as k p being arbitrary This completes the proof of our claim that the sequence x k of functions is uniformly Cauchy on to to n j2k Using this last mentioned property of the sequence xk Z we define a function x 10 11 10 11 8 8 by putting x t lim x t t to to n The function x thus defined k x is the uniform limit of the sequence x KEN Therefore we have x t lim x 1 lim x f s X s ds 61 10 x limff s x s ds S lim f s x s ds ff s lim x s ds x f s x s ds All the above equations being valid because of the uniform convergence of of x fox on to 14 1 Finally the identity x t x f f s x s ds t t 1 1 derived above has the following two consequences 1 Differentiation of the identity implies
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
