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 22 of 58 Go Back Full Screen Close Quit 3.1. Formula trapezului ¸si formula lui Simpson Aceste formule au fost denumite de Gautschi în [4] ,,caii de povară” ai integrării numerice. Ele î¸si fac bine munca când intervalul de integrare este mărginit ¸si integrandul este neproblematic. Formula trapezelor este surprinzător de eficientă chiar ¸si pentru intervale infinite. Ambele reguli se obt¸in aplicând cele mai simple tipuri de interpolare subintervalelor diviziunii a = x0 < x1 < x2 < · · · < xn−1 < xn = b, xk = a + kh, h = b − a n . (18)
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 22 of 58 Go Back Full Screen Close Quit 3.1. Formula trapezului ¸si formula lui Simpson Aceste formule au fost denumite de Gautschi în [4] ,,caii de povară” ai integrării numerice. Ele î¸si fac bine munca când intervalul de integrare este mărginit ¸si integrandul este neproblematic. Formula trapezelor este surprinzător de eficientă chiar ¸si pentru intervale infinite. Ambele reguli se obt¸in aplicând cele mai simple tipuri de interpolare subintervalelor diviziunii a = x0 < x1 < x2 < · · · < xn−1 < xn = b, xk = a + kh, h = b − a n . (18)
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Aproximarea functionalelor liniare

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