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

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,

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Current address : U¼gur De˜ger: Mersin University, Faculty of Science and Literature, Depart- ment of Mathematics, 33343 Mersin - TURKEY.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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