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The proposed work aims to study the degree of convergence of a functionh~{\widetilde{h}}, conjugate to a Lebesgue integrable2⁢π{2\pi}-periodic function  h , in the Zygmund classZr(ν){Z^{(\nu)}_{r}},r≥1{r\geq 1}, by almost Nörlund transform. Our results give sharper estimates than the previous existing results.

Convergence of a conjugate function in Zygmund space by almost Nörlund transform