On the $\left(C,α\right)$ -means with respect to the Walsh system

preprint2015arXivOpen access

As main result we prove strong convergence theorems for Cesáro means $% \left(C,α\right)$ on the Hardy spaces $H_{1/\left(1+α\right) }$ % , where $0<α<1.$

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On the $\left(C,α\right)$ -means with respect to the Walsh system

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On the (C,α)\left(C,α\right) (C,α)-means with respect to the Walsh system

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On the $\left(C,α\right)$ -means with respect to the Walsh system