- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 67 Issue: 1
- ON APPROXIMATION BY NÖRLUND AND RIESZ SUBMETHODS IN VARIABLE EXPONENT LEBESGUE SPACES
ON APPROXIMATION BY NÖRLUND AND RIESZ SUBMETHODS IN VARIABLE EXPONENT LEBESGUE SPACES
Authors : Uğur Değer
Pages : 46-59
Doi:10.1501/Commua1_0000000829
View : 6 | Download : 5
Publication Date : 2018-02-01
Article Type : Research
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 G¸ven and Israfilov (2010) are generalized according to · both the monotonicity conditions and both the methods.Keywords : Trigonometric approximation, generalized Lebesgue space, Nörlundsubmethod