Convergence and Summability of Multiple Fourier series and generalized variation
In this paper we present results on convergence and Cesàro summability of Multiple Fourier series of functions of bounded generalized variation.
math.AP↗
arXiv subjects
Artur Sahakian
Publications and source records attributed to Artur Sahakian.
On the Convergence and Summability of double Walsh-Fourier series of functions of bounded generalized variation
The convergence of partial sums and Cesáro means of negative order of double Walsh-Fourier series of functions of bounded \ generalized variation is investigated.
math.AP↗
On the convergence of double Fourier series of functions of bounded partial generalized variation
The convergence of double Fourier series of functions of bounded partial $Λ$-variation is investigated. The sufficient and necessary conditions on the sequence $Λ=\{λ_n\}$ are found for the convergence of Fourier series of functions of bounded partial $Λ$-variation.
math.AP↗
On the convergence of multiple Fourier series of functions of bounded partial generalized variation
The convergence of multiple Fourier series of functions of bounded partial $% Λ$-variation is investigated. The sufficient and necessary conditions on the sequence $Λ=\{λ_n\}$ are found for the convergence of multiple Fourier series of functions of bounded partial $Λ$-variation.
math.AP↗
On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation
The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial $Λ$-variation is investigated. The sufficient and neccessary conditions on the sequence $Λ=\{λ_{n}\}$ are found for the convergence of Cesàro means of Fourier series of functions of bounded partial $Λ$-variation.
math.AP↗
Convergence of multiple Fourier series of functions of bounded generalized variation
The paper introduces a new concept of $Λ$-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier series
math.AP↗