The extension of the theorems of Č. V. Stanojević and V. B. Stanojević

Abstract

The new necessary-sufficient conditions for L 1 {L^1} convergence of Fourier series are obtained; Č. V. Stanojevic̀ and V. B. Stanojevic̀’s theorem [5] and Singh and Sharma’s theorem [2] are modified; the convergence theorem for a function sequence in L 1 {L^1} space is obtained; and the extensions are made for the Sheng and Yang theorem [6] and Singh and Sharma’s results.