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subsequences of Vilenkin-Fejér means on the martingale. Hardy spaces, operators and matrices , 14 ( 1 ): 283 – 294 , 2020 . [31] L. E . Persson , G . Tephnadze , G . Tutberidze and P . Wall . Strong summability result of Vilenkin-Fejér means on

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}. The family { P } is relatively compact if every sequence of { P } contains a subsequence weakly convergent to a certain probability measure on ( X, ℬ ( X )). By the Prokhorov theorem [ 2 ], every tight family is relatively compact. Now we return to

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