[This article belongs to Volume - 54, Issue - 02]
Gongcheng Kexue Yu Jishu/Advanced Engineering Science
Journal ID : AES-05-08-2022-271

Title : Uncertainty Inequality With L1 – Norm For Quaternion Fourier Transforms
Ravikumar. K, Diana Vinster Nadeen. A

Abstract :

Several uncertainty inequalities have been proved using two sided Quaternion Fourier Transform with optimal constants. They are very much useful in the fields of signal processing and image processing. This paper especially discusses about the uncertainty inequality with L1-norm. Clarkson’s type inequality and Nash type inequality are specifically proved using Classical approach of Hausdroff Young Inequality.