Improved Stein inequalities for the Fourier transform

Erlan D. Nursultanov; Durvudkhan Suragan

doi:10.1016/j.jat.2024.106126

Improved Stein inequalities for the Fourier transform

Erlan D. Nursultanov, Durvudkhan Suragan

School of Sciences and Humanities

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extended analogues of a more precise version of the Stein inequality for the Fourier transform, broadening its applicability from the range 1<p<2 to 2≤p<∞.

Original language	English
Article number	106126
Journal	Journal of Approximation Theory
Volume	306
DOIs	https://doi.org/10.1016/j.jat.2024.106126
Publication status	Published - Mar 2025

Keywords

Fourier transform
Hardy–Littlewood–Stein inequality
Lorentz space
Stein inequality

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1016/j.jat.2024.106126

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Improved Stein inequalities for the Fourier transform

Abstract

Keywords

ASJC Scopus subject areas

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