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

Abstract

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