On trigonometric approximation of functions in the Lq norm

Abstract

In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the infinite matrix.

Keywords

• class Lip (β
• q)
• trigonometric approximation
• Lq norm
• 42A10
• 41A25