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 13 of 58 Go Back Full Screen Close Quit S-ar părea că, cel put¸in în cazul polinoamelor (adică Φ = Pd), prima metodă este mai puternică, deoarece poate conduce la o expresie a erorii de interpolare (aplicând funct¸ionala formulei de interpolare f = anf + rnf). Dar ¸si în cazul metodei coeficient¸ilor nedeterminat¸i, din condit¸ia de exactitate, se poate exprima restul cu ajutorul teoremei lui Peano.
Introducere Derivare numerică Integrare numerică Cuadraturi adaptive Cuadraturi . . . Cuadraturi . . . Formule . . . Home Page Title Page ◭◭ ◮◮ ◭ ◮ Page 13 of 58 Go Back Full Screen Close Quit S-ar părea că, cel put¸in în cazul polinoamelor (adică Φ = Pd), prima metodă este mai puternică, deoarece poate conduce la o expresie a erorii de interpolare (aplicând funct¸ionala formulei de interpolare f = anf + rnf). Dar ¸si în cazul metodei coeficient¸ilor nedeterminat¸i, din condit¸ia de exactitate, se poate exprima restul cu ajutorul teoremei lui Peano.
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Aproximarea functionalelor liniare

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