Degree of Approximation of Conjugate Fourier Series of Functions in Besov space by Riesz Mean

Madhusmita Mohanty; Sanghamitra Beuria

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P517

Degree of Approximation of Conjugate Fourier Series of Functions in Besov space by Riesz Mean

Madhusmita Mohanty, Sanghamitra Beuria

Abstract

The paper studies the degree of approximation of functions by their Conjugate Fourier series in the Besov space by Riesz mean and this generalizing many known results.

Keywords

Besov space, Holder space, Lipschitz space, Riesz mean, Modulus of smoothness.

References

[1] Das, G., Ghosh, T. and Ray, B.K: Degree of Approximation of function by their Fourier series in the generalized Holder metric, proc. Indian Acad. Sci. (Math.Sci), 106 (1996) 139-153.
[2] Devore Ronald A. Lorentz, G.: Constructive approximation, Springler- Verlay, Berlin Heidelberg New York, (1993).
[3] Prossdorf, S.: Zur Konvergenz der Fourier richen Holder stetiger Funktionen math.Nachar, 69 (1975) 7-14.
[4] Wojtaszczyk, P.: A Mathematical Introduction to Wevlets, London Mathematical Society students texts 37, Cambridge University Press, New York, (1997).
[5] Zygmund, A .: Smooth fuctions, Duke math. Jouna,l 12 (1945) 47-56.
[6] Zygmund,A.: Trigonometric series vols I & II combined, Cambridge Univ. Press, New York, (1993).

Citation :

Madhusmita Mohanty, Sanghamitra Beuria, "Degree of Approximation of Conjugate Fourier Series of Functions in Besov space by Riesz Mean," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 145-166, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P517