and Applied Analysis 3 Moreover, Bourgin 15 and Găvruţa 16 have considered the stability problem with unbounded Cauchy differences see also 17–27 . On the other hand, J. M. Rassias 28–33 considered the Cauchy difference controlled by a product of different powers of norm. However, there was a singular case; for this singularity a counterexample was given by Găvruţa 34 . This stability phenomeno...

and Applied Analysis 3 The functional equation 1.7 was first solved by Kannappan. In fact he proved that a mapping f on a real vector space is a solution of 1.7 if and only if there exists a symmetric biadditive mapping B and an additive mapping A such that f x B x, x A x , for any x see 9 . The stability problem for 1.7 is also studied in 26 . Moreover 1.7 was pexiderized and solved by Kannapp...

Genome-wide association studies have identified a large number of disease susceptibility loci of unknown function, characterized by high allele frequencies and low relative risks. This is also the case for type 2 diabetes for which Salanti et al. (1) identified 17 replicated associations from 19 studies. The odds ratios (ORs) for risk homozygotes ranged from 1.10 to 1.61. The authors compared g...