<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Comparison of Raabe’s and Schlömilch’s tests

Instytut Matematyki Uniwersytet Szczeciński ul. Wielkopolska 15 PL–70-453 Szczecin POLAND

Tatra Mountains Mathematical Publications

{"article-title":"Comparison of Raabe\u2019s and Schlömilch\u2019s 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...

Comparison of Raabe’s and Schlömilch’s tests

Published Online: Nov 12, 2012

Page range: 119 - 130

DOI: https://doi.org/10.2478/v10127-009-0012-y

Keywords
series, tests for convergence.

This content is open access.

Comparison of Raabe’s and Schlömilch’s tests

Published Online: Nov 12, 2012

Page range: 119 - 130

DOI: https://doi.org/10.2478/v10127-009-0012-y

Keywordsseries, tests for convergence.

This content is open access.

Keywords
series, tests for convergence.