Rate of convergence of the conjugate Fourier integral and its Nörlund means

Authors

  • Prince Ashvinbhai Bhuva
  • Bhikha Lila Ghodadra

DOI:

https://doi.org/10.1285/i15900932v45n2p55

Keywords:

Nörlund summability, Cesàro summability, functions of bounded variation on $\mathbb{R}$, Conjugate Fourier integral

Abstract

In this paper, we give the rate of convergence of the conjugate Fourier integral of functions of bounded variation over $(-\infty,\infty)$. Further, we give the rate of convergence of Nörlund means of the conjugate Fourier integral of $f$, where $f$ is of bounded variation over every finite interval $[a,b]$, $-\infty < a< b <\infty.$ Also, in particular as corollary, we get the rate of convergence of $(C,1)$ means of the conjugate Fourier integral.

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Published

06-03-2026

Issue

Volume 45, issue 2 (2025)

Section

Articoli

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