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 19 of 58 Go Back Full Screen Close Quit 3. Integrare numerică Problema este de a calcula integrala definită a unei funct¸ii date pe un interval mărginit [a, b]. Dacă f are o comportare bună, aceasta este o problemă de rutină, pentru care metodele cele mai simple de integrare cum ar fi regula trapezelor sau regula repetată a lui Simpson sunt satisfăcătoare, prima având anumite avantaje asupra celei de-a doua în cazul când f este periodică, cu perioada b − a.
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 19 of 58 Go Back Full Screen Close Quit 3. Integrare numerică Problema este de a calcula integrala definită a unei funct¸ii date pe un interval mărginit [a, b]. Dacă f are o comportare bună, aceasta este o problemă de rutină, pentru care metodele cele mai simple de integrare cum ar fi regula trapezelor sau regula repetată a lui Simpson sunt satisfăcătoare, prima având anumite avantaje asupra celei de-a doua în cazul când f este periodică, cu perioada b − a. Complicat¸iile apar atunci când f are singularităt¸i (dar rămâne integrabilă), sau când intervalul de integrare este nemărginit (care este o altă manifestare a comportării singulare).
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Aproximarea functionalelor liniare

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