graph of that function and the X axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, is one way to make this concept rigorous...
41 KB (5,861 words) - 06:24, 5 October 2024
Vitali set (redirect from A subset of R which is not Lebesgue measurable)
Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable, found by Giuseppe Vitali in 1905. The Vitali theorem is the...
9 KB (1,381 words) - 15:02, 26 August 2024
misura dei gruppi di punti di una retta, Bologna, Tip. Gamberini e Parmeggiani (1905). G. Vitali, Una derivazione covariante formata coll’ausilio di n...
11 KB (1,276 words) - 19:45, 5 June 2024
To see this, it is simple to construct a counterexample when μ is the Lebesgue measure: consider the sequence of real-valued indicator functions f n (...
19 KB (2,539 words) - 05:47, 28 September 2024
Leonida Tonelli (category Academic staff of the Scuola Normale Superiore di Pisa)
trigonometriche. Zanichelli, Bologna 1928 Calculus of variations Fourier series Lebesgue integral Mathematical analysis Leonida Tonelli. Leonida Tonelli at the...
24 KB (1,805 words) - 06:37, 22 October 2024
subito dopo la seconda guerra mondiale che il processo di astrattizzazione della teoria della misura e dell'integrale si completa in modo definitivo. A ciò...
35 KB (3,837 words) - 16:48, 29 October 2024
della misura (r-1)-dimensionale in uno spazio ad r dimensioni" [On a general theory of (r-1)-dimensional measure in r-dimensional space], Annali di Matematica...
29 KB (4,601 words) - 00:40, 28 October 2024
Annali di Matematica Pura ed Applicata, 34 (1): 27–39, doi:10.1007/BF02415323, S2CID 121096271, Zbl 0052.30703. Cafiero, Federico (1959), Misura e integrazione...
106 KB (12,072 words) - 11:26, 12 November 2024