pers G: VISION = 2022 Persity + - ass norm and as in the lectures: hg? N Jharsit&gN+1)9N - (90- Iniversity 22,oof of Lem

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Pers G Vision 2022 Persity Ass Norm And As In The Lectures Hg N Jharsit Gn 1 9n 90 Iniversity 22 Oof Of Lem 1 (320.57 KiB) Viewed 14 times

pers G: VISION = 2022 Persity + - ass norm and as in the lectures: hg? N Jharsit&gN+1)9N - (90- Iniversity 22,oof of Lemma 2 1/2 h i=0 gi h E we accept): um a norm.) since 90 niveI do not necessarily vanish, these mass and .,N+1 Utisfies (1) then, with F= = (f(2i))i=1,. ,N, 20an. Assessable task, U \%,N+ ||U\li,N =($22, Assessable task, auo + lowing inequality, which holds for all V + ||V||0,N). vol+UN+1 ≤ CL (||V || maks ilar approach to the Poincaré inequality (4), prove the following error estimate for (1): if u € C4 ([0, L]) then ||U ≤ - INU|O,N + ||U - INU1,N Cab La = (u(xi))i=0,..., N+1 and Ca,b,L,u is a constant that only depends on y tive real numbers z, u we have (z+w)² tas is done in the previous for two different choices of u, the loglog convergence) parts. Mon +1, and has essentially Univers was tax essa iver onash ash Unive ask Asse ssess a tas Pressable Assosable the tamash thash Pe Assessable thr Assessable task niversy 2022, Assessål versite 2022, Assess You sity onniver then Fversity Uni and with CL Mornsh sessable task Assessable task, niversity 2022 viversity 2022, Unversity 2022, Assable ta su University 2022, Assemble ashniversit sh U vers ona Univesity Unive