Giuseppe Vitali (26 August 1875 – 29 February 1932) was an Italian mathematician who worked in several branches of mathematical analysis.

His father, Domenico Vitali, worked for a railway company in Ravenna while his mother, Zenobia Casadio, was able to stay at home and look after her children.

He was an invited speaker at the International Congress of Mathematicians held in Bologna in September 1928, giving the lecture Rapporti inattesi su alcuni rami della matematica (Unexpected relationships of some branches of mathematics).

On 29 February 1932 he delivered a lecture at the University of Bologna and was walking in conversation with fellow mathematician Ettore Bortolotti when he collapsed and died in the street.

[2] Vitali published a remarkable volume of mathematics over his career with his most significant output taking place in the first eight years of the twentieth century.

Another theorem bearing his name gives a sufficient condition for the uniform convergence of a sequence of holomorphic functions on an open domain.