Formula q_398 (Q992): Difference between revisions

Latest revision as of 18:31, 22 April 2020

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English	Formula q_398	No description defined

q_398

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\int _{0}^{1}f(x)\cos(2\pi nx)\,dx\leq \int _{0}^{1}|f(x)||\cos(2\pi nx)-\sum _{n=0}^{N}a_{n}x^{n}|\leq \epsilon ||f||_{L^{1}}

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Revision as of 18:31, 22 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: arqmath formula id (P8): q_398 ← Older edit	Latest revision as of 18:31, 22 April 2020 SchuBot (talk \| contribs) SchuBot, Bots, Bureaucrats, flow-bot, Suppressors, Administrators 4,665 edits ‎Created claim: Defining formula (P1): \int_0^1 f(x) \cos(2 \pi nx) \,dx \le \int_0^1 \|f(x)\|\|\cos(2 \pi nx)-\sum_{n=0}^{N}a_n x^n\| \le \epsilon\|\|f\|\|_{L^1}
	Property / Defining formula
		$\int _{0}^{1}f(x)\cos(2\pi nx)\,dx\leq \int _{0}^{1}\|f(x)\|\|\cos(2\pi nx)-\sum _{n=0}^{N}a_{n}x^{n}\|\leq \epsilon \|\|f\|\|_{L^{1}}$ `\int_0^1 f(x) \cos(2 \pi nx) \,dx \le \int_0^1 \|f(x)\|\|\cos(2 \pi nx)-\sum_{n=0}^{N}a_n x^n\| \le \epsilon\|\|f\|\|_{L^1}`
	Property / Defining formula: $\int _{0}^{1}f(x)\cos(2\pi nx)\,dx\leq \int _{0}^{1}\|f(x)\|\|\cos(2\pi nx)-\sum _{n=0}^{N}a_{n}x^{n}\|\leq \epsilon \|\|f\|\|_{L^{1}}$ / rank
		Normal rank