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In the framework of the semiclassical approach, we compute the normalizedstructure constants in three-point correlation functions, when two of thevertex operators correspond to "heavy" string states, while the third vertexcorresponds to a "light" state. This is done for the case when the "heavy"string states are finite-size giant magnons, carrying one or two angularmomenta. The "light" states are taken to be singlet scalar operators on higherstring levels. We first consider the case of string theory on AdS_5xS^5 dual toN = 4 super Yang-Mills. Then we extend the obtained results to thegamma-deformed AdS_5x S^5, corresponding to N = 1 super Yang-Mills theory,appearing as an exactly marginal deformation of N=4 super Yang-Mills.

Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels