Volume no :54, Issue no: 1, November (2018)

APPROXIMATION IN WEIGHTED LORENTZ SPACES

Author's: Yunus Emre Yildirir and Ali Dogu
Pages: [1] - [9]
Received Date: September 28, 2018; Revised October 25, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122010

Abstract

We define a convolution type transform for the fractional derivatives of the functions in weighted Lorentz spaces and estimate this transform with the best trigonometric approximation in this space.

Keywords

weighted Lorentz space, Muckenhoupt weight, fractional derivative, Fourier series.