On approximation of double Fourier series and its conjugate series for functions in mixed Lebesgue space  Lp→,p ∈ [1,∞]2

Yogeshkumar K. Patel; Rajendra G. Vyas

doi:10.22199/issn.0717-6279-5418

On approximation of double Fourier series and its conjugate series for functions in mixed Lebesgue space Lp→,p ∈ [1,∞]2

Authors

Yogeshkumar K. Patel Department of Mathematics, Government Science College, Pardi, Gujarat, India 396125
Rajendra G. Vyas Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda Vadodara, Gujarat, India 390002

DOI:

https://doi.org/10.22199/issn.0717-6279-5418

Keywords:

summation methods, Fourier series, order of convergence

Abstract

In this paper, we study the approximation of double Fourier series and its conjugate series for functions in mixed Lebesgue space L_p, p ∈ [1,∞]² using double Karamata K^λ,μ means.

References

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R.G Vyas, “Convolution product of functions of generalized Wiener class”, The Mathematics Student, vol. 90, 2021. https://doi.org/10.1515/gmj-2015-0011

Published

2023-03-27

How to Cite

[1]

Yogeshkumar K. Patel and Rajendra G. Vyas, “On approximation of double Fourier series and its conjugate series for functions in mixed Lebesgue space Lp→,p ∈ [1,∞]2”, Proyecciones (Antofagasta, On line), vol. 42, no. 2, pp. 433-444, Mar. 2023.

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Issue

Vol. 42 No. 2 (2023)

Section

Artículos

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