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A note on double Fourier coefficients

Abstract

We estimate the order of magnitude of double Fourier coefficients of functions of \((\phi,\psi)\)-\((\Lambda,\Gamma)\)-bounded variation in the sense of Vitali and Hardy.

2020 Mathematics Subject Classification:

42B05, 26B30, 26D15

Keywords

double Fourier series, order of magnitude, functions of \((\phi,\psi)\)-\((\Lambda,\Gamma)\)-bounded variation

Full text

Author Details

Kiran N. Darji

Department of Science and Humanities,
Tatva Institute of Technological Studies
Modasa, Arvalli, Gujarat, India
e-mail: darjikiranmsu@gmail.com

Rajendra G. Vyas

Department of Mathematics
Faculty of Science
The Maharaja Sayajirao University of Baroda
Vadodara, Gujarat, India
e-mail: drrgvyas@yahoo.com


References

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