Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces with Variable Exponents

  • S. Z. Jafarov

Abstract

In the present work, we study the estimates for the periodic functions of linear operators constructed on the basis of their Fourier series in weighted Lebesgue spaces with variable exponent and Muckenhoupt weights. In this case, the obtained estimates depend on the sequence of the best approximation in weighted Lebesgue spaces with variable exponent.
Published
25.10.2014
How to Cite
JafarovS. Z. “Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces With Variable Exponents”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 10, Oct. 2014, pp. 1348–1356, http://umj.imath.kiev.ua/index.php/umj/article/view/2226.
Section
Research articles