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An integral representation result is obtained for the variational limit ofthe family functionals  $\int_{\Omega}f\left(\frac{x}{\varepsilon}, Du\right)dx$, as $\varepsilon \to0$, when the integrand $f = f (x,v)$ is a Carath\'eodory function, periodic in$x$, convex in $v$ and with nonstandard growth.

Relaxation of Periodic and Nonstandard Growth Integrals by means of Two-scale convergence