N Khanna, A Zothansanga, SK Kaushik… - Journal of …, 2021 - Wiley Online Library
In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give …
In this paper, it is proved that under some conditions, wavelet packet basis of L 2 (ℝ) can be used as a tool for the uniform approximation of an M-times (M> 0) continuously differentiable …
In this paper, we define and study parameter (p, q)-Boas transform of a signal in linear canonical transform domain. Also, we define the complex signals associated with parameter …
L Kathuria, S Goel, N Khanna - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we propose Fourier–Boas‐Like wavelets and obtain sufficient conditions for their higher vanishing moments. A sufficient condition is given to obtain moment formula for …
AM Jarrah, N Khanna, A Zothansanga… - Iranian Journal of …, 2024 - Springer
Pathak introduced variation diminishing wavelets and wavelets of specified changes in sign by utilising Schoenberg's notion of variation-diminishing integral operators of convolution …
A Zothansanga, N Khanna, SK Kaushik… - Journal of …, 2022 - Wiley Online Library
In this paper, we define new real wavelets based on the Hartley kernel and Boas transforms. These wavelets have possible application in analyzing both the symmetries of an …
N Khanna, JH Arredondo, L Kathuria… - … Functional Analysis and …, 2021 - Taylor & Francis
Sweldens and Piessens gave the crucial relationship between the first and the second scaling moment in order to derive an effective one-point quadrature formula to reproduce …
L Kathuria, S Goel, N Khanna… - Jordan Journal of …, 2023 - journals.yu.edu.jo
The present paper aims to approximate functions belonging to the class L2 (R), using Boas transform of wavelets. We exhibit that Hölder continuity of a function plays a crucial role in …
A Zothansanga, N Khanna, SK Kaushik… - Iranian Journal of …, 2023 - Springer
Gabor proposed the concept of analytic signal, ie, a complex signal related to a given real signal using the Hilbert transform. In this paper, we generalize the approach of constructing …