Affiliation:
1. Department of Mathematics , 123518 Sardar Vallabhbhai National Institute of Technology , Surat - 395007, Gujarat , India
Abstract
Abstract
In this paper, we determine the error of approximation of functions, conjugate to the functions of two variables (
2
π
2\pi
-periodic in both variables) belonging to the Lipschitz class
Lip
(
(
ξ
1
,
ξ
2
)
;
r
\operatorname{Lip}((\xi_{1},\xi_{2});r
) (
r
≥
1
r\geq 1
), through the double Nörlund means of its conjugate double Fourier series.
Additionally, in the form of corollaries, we present some particular cases of the theorem proved here.