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

Yıl 2018, Cilt: 67 Sayı: 1, 46 - 59, 01.02.2018

Uğur Değer

https://doi.org/10.1501/Commua1_0000000829

Cited By: 1

Öz

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.

Anahtar Kelimeler

Trigonometric approximation, generalized Lebesgue space, Nörlundsubmethod

Kaynakça

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