@

author = {Stefan Gerhold and Manuel Kauers},}

title = {{A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter}},

booktitle = {{Proceedings of ISSAC '05}},

language = {english},

abstract = {We define a class of special function inequalities that contains many classical examples, such as the Cauchy-Schwarz inequality, and introduce a proving procedure based on induction and Cylindrical Algebraic Decomposition. We present an array of non/trivial examples that can be done by our method and have not been proven automatically before. Some difficult well-known inequalities such as the Askey-Gasper inequality and Vietoris's inequality lie in our class as well, but we do not know if our proving procedure terminates on them.},

pages = {156--162},

publisher = {ACM Press},

isbn_issn = {ISBN 1-59593-095-705/0007},

year = {2005},

editor = {Manuel Kauers},

refereed = {yes},

length = {7}