On approximation by Nörlund and Riesz submethods in variable exponent lebesgue spaces

Abstract

Abstract. In this study the results on the degree of approximation by the Nörlund and the Riesz submethods of the partial sums of their Fourier series of functions where in the variable exponent Lebesgue spaces are given by weakening the monotonicity conditions of sequences in the submethods. Therefore the results given in Güven and · Isra…lov (2010) are generalized according to both the monotonicity conditions and both the methods.