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 10 of 58 Go Back Full Screen Close Quit 1.1. Metoda interpolării Rezolvăm problema generală de aproximare prin interpolare Lf ≈ Lϕ(l; ·), l = [ℓ1, ℓ2, . . . , ℓm] T , ℓi = Lif (8) Cu alte cuvinte aplicăm L nu lui f, ci solut¸iei ϕ(l; ·) a problemei de aproximare (3) în care s = l. Ipoteza noastră ne garantează că ϕ(l; ·) este unic determinat.
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 10 of 58 Go Back Full Screen Close Quit 1.1. Metoda interpolării Rezolvăm problema generală de aproximare prin interpolare Lf ≈ Lϕ(l; ·), l = [ℓ1, ℓ2, . . . , ℓm] T , ℓi = Lif (8) Cu alte cuvinte aplicăm L nu lui f, ci solut¸iei ϕ(l; ·) a problemei de aproximare (3) în care s = l. Ipoteza noastră ne garantează că ϕ(l; ·) este unic determinat. În particular, dacă f ∈ Φ, atunci (8) are loc cu egalitate, deoarece ϕ(l; ·) = f(·), în mod trivial.
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Aproximarea functionalelor liniare

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