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Aproximarea functionalelor liniare

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Introducere<br />

Derivare numerică<br />

Integrare numerică<br />

Cuadraturi adaptive<br />

Cuadraturi . . .<br />

Cuadraturi . . .<br />

Formule . . .<br />

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Exemplul 5 Dacă X este un spat¸iu de funct¸ii definite pe [a, b],<br />

integrabile pe [a, b] ¸si pentru care există f (j) (xk), k = 0, m, j ∈ Ik,<br />

cu x ∈ [a, b] ¸si Ik mult¸imi de indici date<br />

iar<br />

se obt¸ine formula<br />

Lkj(f) = f (j) (xk), k = 0, m, j ∈ Ik,<br />

L(f) =<br />

b<br />

a<br />

f(x)dx,

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