Approximation by sub-matrix means for functions in \(H^{\vec{p}}_{\alpha,\beta}[\mathbb{T}^2]\) class using sub-matrix means
Abstract
Here, we have expanded the outcome related to the approximation of double Fourier series using sub-matrix means, encompassing a broader set of sequences and a more inclusive class of functions \(H^{\vec{p}}_{\alpha,\beta}[\mathbb{T}^2]\) within a mixed Lebesgue space.
2020 Mathematics Subject Classification:
42A24, 41A25Keywords
Summation methods, Fourier series, Order of convergence
Author Details
YogeshKumar K. Patel
Department of Mathematics
Government Science College
Pardi, Gujarat, India 396125
e-mail: ykpmaths@gmail.com
Rajendra G. Vyas
Department of Mathematics
Faculty of Science
The Maharaja Sayajirao University of Baroda Vadodara
Gujarat, India 390002
e-mail: vyas.rajendra@gmail.com
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