On the Stability of Functional Equations with Square-Symmetric Operation

Hyers-ulam stability of functional equations with a square-symmetric operation.

The stability of the functional equation f(x composite function y) = H(f(x), f(y)) (x, y in S) is investigated, where H is a homogeneous function and composite function is a square-symmetric operation on the set S. The results presented include and generalize the classical theorem of Hyers obtained in 1941 on the stability of the Cauchy functional equation.

the effect of functional/notional approach on the proficiency level of efl learners and its evaluation through functional test

in fact, this study focused on the following questions: 1. is there any difference between the effect of functional/notional approach and the structural approaches to language teaching on the proficiency test of efl learners? 2. can a rather innovative language test referred to as "functional test" ge devised so so to measure the proficiency test of efl learners, and thus be as much reliable an...

Comparison of Functional Stability of Shoulder Girdle between Individuals with Symmetric and Asymmetric Scapula

Background and Aim: Changes in the position of the scapula due to its multiple roles, including acting as a muscle binding site and stabilization in this area can reduce the physiological and biomechanical efficiency of the shoulder, which ultimately increases shoulder injury. Therefore, the purpose of this study was to compare the functional stability of shoulder girdle between asymmetric and ...

On the Stability of Trigonometric Functional Equations

On the Stability of Monomial Functional Equations

In the present paper a certain form of the Hyers–Ulam stability of monomial functional equations is studied. This kind of stability was investigated in the case of additive functions by Th. M. Rassias and Z. Gajda.