%0 Journal Article %T Extended Extremes of Information Combining %A Lucas Boczkowski %J Mathematics %D 2012 %I arXiv %X Extremes of information combining inequalities play an important role in the analysis of sparse-graph codes under message-passing decoding. We introduce new tools for the derivation of such inequalities, and show by means of a concrete examples how they can be applied to solve some optimization problems in the analysis of low-density parity-check codes. %U http://arxiv.org/abs/1201.6046v2