Prince Ashvinbhai Bhuva[a] and Bhikha Lila Ghodadra[b]
Approximation by partial integrals and Nörlund means of Fourier integrals
Pages: 411-431
Received: 27 June 2023
Accepted in revised form: 4 July 2024
Mathematics Subject Classification: 40G05, 41A25, 42A38, 42A10.
Keywords:
Nörlund summability, Cesàro summability, Harmonic summability, function of bounded variation on \( \mathbb{R} \), Fourier integral.
Authors address:
[a],[b]: Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, 390 002 (Gujarat), India
Abstract: In this paper, by giving rate of convergence under certain conditions we approximate the function by partial integrals and Nörlund means of its Fourier integral. Also, in particular as corollaries, we get the rate of convergence of Harmonic means and of \( (C,1) \) means of the Fourier integral.