Approximation of the functions in weighted Lebesgue spaces with variable exponent |
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| Authors: | Sadulla Z. Jafarov |
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| Affiliation: | 1. Mu? Alparslan University, Faculty of Education, Department of Mathematics and Science Education , Mu?, Turkey.;2. National Academy of Sciences of Azerbaijan, Institute of Mathematics and Mechanics , Baku, Azerbaijan.s.jafarov@alparslan.edu.tr |
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| Abstract: | In the present work, we investigate the approximation problems of the functions by Fejér, and Zygmund means of Fourier trigonometric series in weighted Lebesgue spaces with variable exponents and of the functions by Fejér and Abel–Poisson sums of Faber series in weighted Smirnov classes with variable exponents defined on simply connected domains with a Dini-smooth boundary of the complex plane. |
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| Keywords: | Lebesgue space with a variable exponent best approximation Muckenhoupt weight weighted modulus of smoothness Zygmund mean Abel–Poisson mean |
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