We show that the functional equation g ( x + y 2 ) = 4 √ g(x)g(y) is stable in the classical sense on arbitrary Q-algebraically open convex sets, but the Hyers method does not work. For the convenience of the reader, we have included an extensive list of references where stability theorems for functional equations were obtained using the direct method of Hyers.

background often, there is no access to sufficient sample size to estimate the prevalence using the method of direct estimator in all areas. the aim of this study was to compare small area’s bayesian method and direct method in estimating the prevalence of steatosis in obese and overweight children. materials and methods: in this cross-sectional study, was conducted on 150 overweight and obese ...

A direct method to construct 2-oxazolines and 2-thiazolines from corresponding allylic amides and thioamides is reported. The redox-neutral intramolecular hydrofunctionalization is enabled by a dual catalyst system comprised of 9-mesityl-N-methyl acridinium tetrafluoroborate and phenyl disulphide and exhibits complete selectivity for the anti-Markovnikov regioisomeric products. The cyclization ...

We performed a cost analysis study using decision tree modeling to determine whether the use of multiplex PCR testing for respiratory viruses (xTAG RVP test) is a more or less costly strategy than the status quo testing methods used for the diagnosis of respiratory virus infections in pediatric patients. The decision tree model was constructed by using four testing strategies for respiratory vi...

the main method of rice planting in iran is transplanting. due to poor mechanization of rice production, this method is laborious and costly. the other method is direct seeding in wet lands which is performed in the one third of rice cultivation area of the world. the most important problem in this method is high labor requirement of weed control. in order to compare the different rice planting...