Absolut continua => variatia ei e absolut continua

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Alin Galatan
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Absolut continua => variatia ei e absolut continua

Post by Alin Galatan »

Fie F o functie absolut continua pe [a,b]. Atunci \( V_a^xF \) e absolut continua.
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aleph
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Post by aleph »

Rezulta imediat din formula

\( V_a^x F = \int_a^x |F\prime| \).

O demonstratie directa se afla in W. Rudin - Analiza reala si complexa, Theta 1999.
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