... 2011:21http://www.advancesindifferenceequations.com/content/2011/1/21Page 6 of 17RESEARC H Open Access Some new finite difference inequalities arising in the theory of difference equationsQinghua Feng1,2*, Fanwei Meng2and Yaoming Zhang1* Correspondence: ... Meng FW: On some new nonlinear discrete inequalities and their applications. J Ineq Pure ApplMath 2006, 7:1-9, Article 52.2. Pachpatte BG: Inequalities applicable in the theory of finite differential ... decreasing in the secondvariable”, “f(m, n)is nondecreasing in the first variable a nd decreasing in the secondvariable”,and“b is decreasing in the second variable” in Theorem 2.8, then Theorem2.8...