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

Abstract

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 arithmetic means of its Fourier series. Such degree of approximation is expressed via two functions of moduli of continuity type. To obtain one more general result, we used the even-type double delayed arithmetic means of Fourier series as well.