Research Article

Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series

Volume: 15 Number: 2 December 31, 2023
EN

Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series

Abstract

For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.

Keywords

Supporting Institution

N/A

Project Number

N/A

Thanks

Thanks to the God

References

  1. Boas, R.P., Entire Functions, Academic Press, New York, 1954.
  2. Bonami, A., Revesz, S. Gy, Failure of Wiener’s property for positive definite periodic functions, Comptes Rendus Mathematique, 346(1)(2008), 39–44.
  3. Shapiro, H.S., Majorant problems for Fourier coefficients, The Quarterly Journal of Mathematics, 26(1)(1975), 9–18.
  4. Sharkas, H., Echigo, H., Beamforming Solutions for Efficient Link Setup and Link Maintenance in mmWave Communication Systems, Master’s Thesis, Lund University, Sweden, 2019.
  5. Wainger, S., A problem of Wiener and the failure of a principle for Fourier series with positive coefficients, Proceedings of the American Mathematical Society, 20(1)(1969), 16–18.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

December 11, 2022

Acceptance Date

December 8, 2023

Published in Issue

Year 2023 Volume: 15 Number: 2

APA
Sharkas, H. (2023). Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series. Turkish Journal of Mathematics and Computer Science, 15(2), 403-406. https://doi.org/10.47000/tjmcs.1217379
AMA
1.Sharkas H. Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series. TJMCS. 2023;15(2):403-406. doi:10.47000/tjmcs.1217379
Chicago
Sharkas, Hesham. 2023. “Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series”. Turkish Journal of Mathematics and Computer Science 15 (2): 403-6. https://doi.org/10.47000/tjmcs.1217379.
EndNote
Sharkas H (December 1, 2023) Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series. Turkish Journal of Mathematics and Computer Science 15 2 403–406.
IEEE
[1]H. Sharkas, “Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series”, TJMCS, vol. 15, no. 2, pp. 403–406, Dec. 2023, doi: 10.47000/tjmcs.1217379.
ISNAD
Sharkas, Hesham. “Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series”. Turkish Journal of Mathematics and Computer Science 15/2 (December 1, 2023): 403-406. https://doi.org/10.47000/tjmcs.1217379.
JAMA
1.Sharkas H. Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series. TJMCS. 2023;15:403–406.
MLA
Sharkas, Hesham. “Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series”. Turkish Journal of Mathematics and Computer Science, vol. 15, no. 2, Dec. 2023, pp. 403-6, doi:10.47000/tjmcs.1217379.
Vancouver
1.Hesham Sharkas. Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series. TJMCS. 2023 Dec. 1;15(2):403-6. doi:10.47000/tjmcs.1217379

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