إذا كانت "f" و "g" دالتين ذات قيم حقيقية وقابلتين للتكامل على المجال [0,1], كلاهما تنازلي، أو كلاهما تصاعدي، فإن::formula_10with the inequality reversed if one is non-increasing and the other is non-decreasing.
==Continuous version==There is also a continuous version of Chebyshev's sum inequality:If "f" and "g" are real-valued, integrable functions over [0,1], both non-increasing or both non-decreasing, then:formula_10with the inequality reversed if one is non-increasing and the other is non-decreasing.