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In this paper, we give a degree of approximation of a function in the space$H_{p}^{(\omega, \omega)}$ by using the second type double delayed arithmeticmeans of its Fourier series. Such degree of approximation is expressed via twofunctions of moduli of continuity type. To obtain one more general result, weused the even-type double delayed arithmetic means of Fourier series as well.

Approximation by double second type delayed arithmetic mean of periodic functions in $H_{p}^{(\omega, \omega)}$ space