Some useful resources to test mobile applications for web security using Burp Suite can be found at the following locations:
How To Set Up An iOS Pen Testing Environment: http://eightbit.io/post/64319534191/how-to-set-up-an-ios-pen-testing-environment
Importing Burp certificate for Android pentesting without root: http://backtosecurity.com/importing-burp-certificate-for-android-pentesting-without-root/
Windows 8 Mobile Burp Proxy Setup: http://pentest-forum.com/index.php?topic=688.0
Pentesting Web Service with anti CSRF token using BurpPro: http://www.notsosecure.com/blog/2014/07/02/pentesting-web-service-with-csrf-token-with-burp-pro/
iOS Assessments with Burp + iFunBox + SQLite: http://blog.nvisium.com/2014/08/ios-assessments-with-burp-ifunbox-sqlite.html