Aproximarea functionalelor liniare

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$P 0.1 Stabilişti natura şsi suma seriilor: a) Σ 1 n\ ; b) Σ arctan 1 n# + n ...$

Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 36 of 58 Go Back Full Screen Close Quit Urmează îmbunătăt¸irea prin extrapolare Richardson I = b a f(x)dx = Rk−1,1 − Vom elimina termenul în h 2 k I =Rk−1,1 − (b − a) 12 h2 k f ′′ (a) + O(h 4 k ). combinând două ecuat¸ii (b − a) 12 h2 k f ′′ (a) + O(h 4 k ),
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 36 of 58 Go Back Full Screen Close Quit Urmează îmbunătăt¸irea prin extrapolare Richardson I = b a f(x)dx = Rk−1,1 − Vom elimina termenul în h 2 k I =Rk−1,1 − I = (b − a) 12 h2 k f ′′ (a) + O(h 4 k ). combinând două ecuat¸ii (b − a) 12 h2 k f ′′ (a) + O(h 4 k ),
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