Inverse continuous wavelet transform in weighted variable exponent amalgam spaces

Yıl 2020, Cilt: 69 Sayı: 2, 1171 - 1183, 31.12.2020

Öznur Kulak , İsmail Aydın

https://doi.org/10.31801/cfsuasmas.710208

Cited By: 1

Öz

The wavelet transform is an useful mathematical tool. It is a mapping of a time signal to the time-scale joint representation. The wavelet transform is generated from a wavelet function by dilation and translation. This wavelet function satisfies an admissible condition so that the original signal can be reconstructed by the inverse wavelet transform. In this study, we firstly give some basic properties of the weighted variable exponent amalgam spaces. Then we investigate the convergence of the θ-means of f in these spaces under some conditions. Finally, using these results the convergence of the inverse continuous wavelet transform is considered in these spaces.

Anahtar Kelimeler

Weighted variable exponent amalgam spaces, Inverse continuous wavelet transform, θ-summability

Kaynakça

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