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 29 of 58 Go Back Full Screen Close Quit 4. Cuadraturi adaptive
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 29 of 58 Go Back Full Screen Close Quit 4. Cuadraturi adaptive La metodele de integrare numerică erorile nu depind numai de dimensiunea intervalului utilizat, ci ¸si de valoarea derivatelor de un anumit ordin ale funct¸iei care urmează a fi integrată. Aceasta implică faptul că metodele nu vor lucra bine pentru funct¸ii cu derivatele de un anumit ordin mari – în special funct¸ii care au fluctuat¸ii mari pe unele subintervale sau pe tot intervalul. Este rezonabil să utilizăm subintervale mici acolo unde derivatele sunt mari ¸si subintervale mari acolo unde derivatele sunt mici. O metodă care face aceasta într-o manieră sistematică se nume¸ste cuadratură adaptivă.
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Aproximarea functionalelor liniare

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