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In this paper, several weighted summation formulas of q-hyperharmonic numbers are derived. As special cases, several formulas of hyperharmonic numbers of type $$\sum _{\ell =1}^{n} {\ell }^{p} H_{\ell }^{(r)}$$ and $$\sum _{\ell =0}^{n} {\ell }^{p} H_{n-\ell }^{(r)}$$ are obtained.

Summation formulas of q-hyperharmonic numbers