ON APPROXIMATION BY NÖRLUND AND RIESZ SUBMETHODS IN VARIABLE EXPONENT LEBESGUE SPACES

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 16 | Download : 9

Publication Date : 2018-02-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(2010); are generalized according to · both the monotonicity conditions and both the methods.
Keywords : Trigonometric approximation, generalized Lebesgue space, Nörlundsubmethod

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