<abstract><p>We study minimizers of non-autonomous functionals</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{align*} \inf\limits_u \int_\Omega \varphi(x,|\nabla u|) \, dx \end{align*} $\end{document} </tex-math></disp-formula></p> <p>when $ \varphi has generalized Orlicz growth. We consider the case ...

in this paper, the notion of n, pn - summability to generalize the concept of statisticalconvergence is used. we call this new method weighted statistically convergence. we also establish itsrelationship with statistical convergence, c,1-summability and strong   n n, p -summability.