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 34 of 58 Go Back Full Screen Close Quit b Cu aceste notat¸ii regula trapezului devine a f(x)dx = hk 2 µk ∈ (a, b). ⎡ ⎣f(a) + f(b) + 2 2n−1 −1 i=1 ⎤ f(a + ihk) ⎦ − b − a 12 h2 k f ′′ (µk) (25)
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 34 of 58 Go Back Full Screen Close Quit b Cu aceste notat¸ii regula trapezului devine a f(x)dx = hk 2 ⎡ ⎣f(a) + f(b) + 2 2n−1 −1 i=1 ⎤ f(a + ihk) ⎦ − µk ∈ (a, b). Notăm cu Rk,1 rezultatul aproximării conform (25). R1,1 = h1 2 b − a 12 h2 k f ′′ (µk) (25) b − a [f(a) + f(b)] = [f(a) + f(b)] (26) 2
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Aproximarea functionalelor liniare

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