Comparison of Raabe’s and Schlömilch’s tests

The exact relationship between the Raabe’s test and Schl¨omilch’s test is described and a useful improved version of the divergence part of these tests is given. Furhter, a more general “continuous” scale of tests is introduced; it includes not only both commonly used versions of Raabe’s test, but also Schl¨omilch’s test.