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

Ug̃ur Deg̃er | Zendy

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

Author(s) -

Ug̃ur Deg̃er

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000829

Subject(s) - mathematics , monotonic function , lp space , riesz potential , lebesgue's number lemma , pure mathematics , lebesgue integration , standard probability space , exponent , variable (mathematics) , degree (music) , series (stratigraphy) , mathematical analysis , banach space , operator theory , riemann integral , physics , fourier integral operator , linguistics , philosophy , paleontology , acoustics , biology

. In this study the results on the degree of approximation by the Norlund 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.

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