Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

Abstract

In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.

Keywords

• trigonometric approximation
• matrix transforms
• grand variable exponent
• Lebesgue spaces
• Lipschitz classes
• rate of approximation