Publication Date:
2020-12-01
Description:
In this paper, we establish a new estimate for the degree of approximation of functions $f(x,y)$ f ( x , y ) belonging to the generalized Lipschitz class $Lip ((xi _{1}, xi _{2} );r )$ L i p ( ( ξ 1 , ξ 2 ) ; r ) , $r geq 1$ r ≥ 1 , by double Hausdorff matrix summability means of double Fourier series. We also deduce the degree of approximation of functions from $Lip ((alpha , eta );r )$ L i p ( ( α , β ) ; r ) and $Lip(alpha , eta )$ L i p ( α , β ) in the form of corollary. We establish some auxiliary results on trigonometric approximation for almost Euler means and $(C, gamma , delta )$ ( C , γ , δ ) means.
Print ISSN:
1687-1839
Electronic ISSN:
1687-1847
Topics:
Mathematics
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