🔬 Discovery

Riemann–Stieltjes integral

Integral de Riemann-Stieltjes

Date
1894 · confidence high
Place
Toulouse, Occitania, France
Credited to
Thomas Joannes Stieltjes
Field
Knowledge & symbols

What was discovered

Dutch mathematician Thomas Joannes Stieltjes published the definition of the integral bearing his name alongside Bernhard Riemann's in 1894, in Toulouse, a generalization that integrates one function with respect to another and a forerunner of the Lebesgue integral.

What it led to

  • Lebesgue–Stieltjes integral
  • Probability theory and distribution functions
  • Unification of discrete and continuous calculus in statistics

Links

Sources✓ verified 2026-09-28