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 6 of 58 Go Back Full Screen Close Quit Putem exprima ipoteza noastră mai explicit în termenii unei baze date ϕ1, ϕ2, . . . , ϕm a lui Φ ¸si a matricei Gram asociată L1ϕ1 L1ϕ2 . . . L1ϕm L2ϕ1 L2ϕ2 G = [Liϕj] = . . . L2ϕm . . . . . . . . . . . . ∈ R Lmϕ1 Lmϕ2 . . . Lmϕm m×m . (4) Cerem ca det G = 0. (5)
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 6 of 58 Go Back Full Screen Close Quit Putem exprima ipoteza noastră mai explicit în termenii unei baze date ϕ1, ϕ2, . . . , ϕm a lui Φ ¸si a matricei Gram asociată L1ϕ1 L1ϕ2 . . . L1ϕm L2ϕ1 L2ϕ2 G = [Liϕj] = . . . L2ϕm . . . . . . . . . . . . ∈ R Lmϕ1 Lmϕ2 . . . Lmϕm m×m . (4) Cerem ca det G = 0. (5) Este u¸sor de văzut că această condit¸ie este independentă de alegerea particulară a bazei.
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Aproximarea functionalelor liniare

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