Approximation of functions in generalized Zygmund class by double Hausdorff matrix

Author:

Nigam H. K.,Mursaleen M.ORCID,Rani Supriya

Abstract

AbstractIn the present work, we emphasize, for the first time, the error estimation of a two-variable function $g(y,z)$ g ( y , z ) in the generalized Zygmund class $Y_{r}^{(\xi )}$ Y r ( ξ ) ($r\geq 1$ r 1 ) using the double Hausdorff matrix means of its double Fourier series. In fact, in this work, we establish two theorems on error estimation of a two-variable function of g in the generalized Zygmund class.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

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