Answer this question in 20-25min if possible i need this.....
Example 1.8- For any real number 0 and any positive integer n show the inequality 4 Cos cos 20 + 2 3 ∞ Σ΄ n=0 cos no n+1 = π-0 2 + m Σ ... This was shown by Rogosinski and Szegö (1928). Verblunsky (1945) gave another proof. Koumandos (2001) obtained the lower bound -41/96 for n ≥ 2. Note that n=1 + cos ne n+1 > - for 0 < 0 < 2л. For the simpler cosine sum Young (1912) showed that cos no > -1 n 1 2 sin cos 0 log 2 sin log (2 sin) Problems and Solutions in Real Analysis for any and positive integer m 2 2. Brown and Koumandos (1997) improved this by replacing -1 by -5/6.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!