Generalized Absolute Convergence of Trigonometric Fourier Series

Vyas, R. G.

doi:10.1007/978-981-10-1454-3_19

Generalized Absolute Convergence of Trigonometric Fourier Series

R. G. Vyas⁶

Conference paper
First Online: 07 August 2016

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2 Citations

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 171))

Abstract

Recently, Moricz and Veres generalized the classical results of Bernstein, Szasz, Zygmund and others related to the absolute convergence of single and multiple Fourier series. In this paper, we have extended this result for single Fourier series of functions of the classes \(\Lambda BV(\mathbb {\overline{T}})\) and \(\Lambda BV^{(p)}(\mathbb {\overline{T}})\).

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References

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Authors and Affiliations

Faculty of Science, Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat, India
R. G. Vyas

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R. G. Vyas
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Correspondence to R. G. Vyas .

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Editors and Affiliations

Department of Applied Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttar Pradesh, India
Vinai K. Singh
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada
H.M. Srivastava
Dipartimento di Matematica, University of Turin, Torino, Italy
Ezio Venturino
High Performance Computing Center (HLRS), University of Stuttgart, Stuttgart, Baden-Württemberg, Germany
Michael Resch
Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India
Vijay Gupta

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Vyas, R.G. (2016). Generalized Absolute Convergence of Trigonometric Fourier Series. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_19

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DOI: https://doi.org/10.1007/978-981-10-1454-3_19
Published: 07 August 2016
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1453-6
Online ISBN: 978-981-10-1454-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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