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Fourier Series: Least Squares. Bessel's Inequality. (F10)
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Classroom Contents
Fourier Series
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- 1 Fourier Coefficients: Riemann Lebesgue Theorem (F1)
- 2 Fourier Series: Trig Indentities (F2)
- 3 Fourier Series: Preliminaries (F3)
- 4 Fourier Series: Orthogonal Basis (F4)
- 5 Fourier Series: f(x) is an even or odd function (F5)
- 6 Fourier Series: The Dirichlet Kernel (F6)
- 7 Fourier Series: Partial Sum (F7)
- 8 Fourier Series: Fejer's Kernel (F8)
- 9 Integration of a Fourier Series (F9)
- 10 Fourier Series: Least Squares. Bessel's Inequality. (F10)
- 11 Fourier Series: Remainder / Residual (F11)
- 12 Fourier Series: Conditions on f(x) and f'(x) for convergence. (F13)
- 13 Fourier Series: Fejer's Theorem (F14)
- 14 Fourier Series: Parseval's Identity (F15)
- 15 Weierstrass M Test
- 16 Cauchy–Schwarz Inequality
- 17 Show that f(t)=sin(t/2)^-1 - (t/2)^-1 is integrable in (0,d)
- 18 Jordan's Decomposition Theorem (Function with Bounded Variation)
- 19 2nd Mean Value Theorem for Integrals
