The h -Hartley-cosine discrete generalized convolution on the time scale 𝕋 h
Abstract
In this article, we study the h-Hartley, h-sine, h-cosine transforms on the time scale Th, and construct the discrete generalized convolution operators for h- Hartley-cosine transform on the time scale Th. We prove Plancherel type theorem, Titchmarsh type theorem, Parseval equalities for the h-Hartley transform and discrete generalized convolutions on the time scale Th. As applications we solve Toeplitz plus Hankel type equations and systems of equations on time scale Th.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Statistical Distribution Estimation and Applications
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Publisher
- Informa UK Limited
- Pages
- 1–22
- Publication date
- 3 May 2026
- Language
- EN