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 41 of 58 Go Back Full Screen Close Quit 6. Cuadraturi adaptive II Coloana a doua din metoda lui Romberg corespunde aproximării prin metoda lui Simpson. Notăm Sk,1 = Rk,2. Coloana a treia este deci o combinat¸ie a două aproximante de tip Simpson: Relat¸ia Sk,2 = Sk,1 + Sk,1 − Sk−1,1 15 = Rk,2 + Rk,2 − Rk−1,2 . 15 Sk,2 = Sk,1 + Sk,1 − Sk−1,1 , (31) 15 va fi folosită la elaborarea unui algoritm de cuadratură adaptivă.
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 41 of 58 Go Back Full Screen Close Quit 6. Cuadraturi adaptive II Coloana a doua din metoda lui Romberg corespunde aproximării prin metoda lui Simpson. Notăm Sk,1 = Rk,2. Coloana a treia este deci o combinat¸ie a două aproximante de tip Simpson: Relat¸ia Sk,2 = Sk,1 + Sk,1 − Sk−1,1 15 = Rk,2 + Rk,2 − Rk−1,2 . 15 Sk,2 = Sk,1 + Sk,1 − Sk−1,1 , (31) 15 va fi folosită la elaborarea unui algoritm de cuadratură adaptivă.
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Aproximarea functionalelor liniare

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