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 7 of 58 Go Back Full Screen Close Quit Pentru a arăta că solvabilitatea unică a lui (3) ¸si condit¸ia (5) sunt echivalente, exprimăm ϕ din (3) ca o combinat¸ie liniară a funct¸iilor de bază m ϕ = (6) j=1 cjϕj ¸si observăm că condit¸iile de interpolare ⎛ ⎞ m ⎝ ⎠ = si, i = 1, m Li j=1 cjϕj pot fi scrise (t¸inând cont de liniaritatea lui Li) sub forma
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 7 of 58 Go Back Full Screen Close Quit Pentru a arăta că solvabilitatea unică a lui (3) ¸si condit¸ia (5) sunt echivalente, exprimăm ϕ din (3) ca o combinat¸ie liniară a funct¸iilor de bază m ϕ = (6) j=1 cjϕj ¸si observăm că condit¸iile de interpolare ⎛ ⎞ m ⎝ ⎠ = si, i = 1, m Li j=1 cjϕj pot fi scrise (t¸inând cont de liniaritatea lui Li) sub forma m cjLiϕj = si, i = 1, m, j=1
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Aproximarea functionalelor liniare

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