Continuous Generalized Hankel-type integral wavelet transformation
DOI:
https://doi.org/10.24297/jam.v11i3.1272Keywords:
Continuous generalized Hankel-type integral wavelet transformation, generalized Hankel-type transformation, Hankel-type Convolution.Abstract
Using the theory of Hankel-type convolution, continuous generalized Hankel-type wavelet integral transformation is defined. The generalized Hankel-type integral wavelet transformation is developed. Using the developed theory of generalized Hankel-type convolution, the generalized Hankel-type translation is introduced. Properties of the kernel are developed in the study. Using the properties of kernel,D μ,α, β ,v (x,y,z)the generalized Hankel-type wavelet transformation is defined. The existence of the generalized Hankel-type integral wavelet transformation is given by a theorem. The boundedness and inversion formula for the generalized Hankel-type integral wavelet transformation is obtained. A basic wavelet which defines continuous generalized Hankel-type integral wavelet transformation, its admissibility conditions and the wavelet to the function is proved. Examples have been shown to explain the studied continuous generalized Hankel-type integral wavelet transformation.
Downloads
Downloads
Published
How to Cite
Issue
Section
License
All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.