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 26 of 58 Go Back Full Screen Close Quit Deci, R2(f) = 1 4! f (4) (ξk)R2(e4), R2(e4)= x5 k+2 − x5 k − 5 h 4 xk + 4x 3 4 k+1 + x4 k+1 =h 2 x4 k+2 + x3 k+2xk + x2 k+2x2 k + xk+2x3 k + x4 k 5 − 5x4 k + 4x3 kxk+2 + 6x2 kx2 k+2 + 4xkx3 k+2 + 5x4 k+2 12 = h 4 −xk + 4x 60 3 kxk+2 + 6x 2 kx2k+2 + 4xkx 3 k+2 − x4 k+2 =− h 60 (xk+2 − xk) 4 = −4 h5 15 . R2(f) = − h5 90 f (4) (ξk).
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 26 of 58 Go Back Full Screen Close Quit Deci, R2(f) = 1 4! f (4) (ξk)R2(e4), R2(e4)= x5 k+2 − x5 k − 5 h 4 xk + 4x 3 4 k+1 + x4 k+1 =h 2 x4 k+2 + x3 k+2xk + x2 k+2x2 k + xk+2x3 k + x4 k 5 − 5x4 k + 4x3 kxk+2 + 6x2 kx2 k+2 + 4xkx3 k+2 + 5x4 k+2 12 = h 4 −xk + 4x 60 3 kxk+2 + 6x 2 kx2k+2 + 4xkx 3 k+2 − x4 k+2 =− h 60 (xk+2 − xk) 4 = −4 h5 15 . R2(f) = − h5 90 f (4) (ξk).
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Aproximarea functionalelor liniare

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