Trigonometric approximation of functions belonging to Lipschitz class by matrix ([InlineEquation not available: see fulltext.]) operator of conjugate series of Fourier series.

In the present paper, a new theorem on the degree of approximation of a function [InlineEquation not available: see fulltext.], conjugate to a 2 π periodic function f belonging to the Lip α ([InlineEquation not available: see fulltext.]) class without the monotonicity condition on the generating sequence [InlineEquation not available: see fulltext.] has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series. MSC: 40G05, 41A10, 42B05, 42B08. [ABSTRACT FROM AUTHOR]