Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 15 1 2025 12 01 Some results on complex $(p,q)- $extnsion Chebyshev wavelets 55 69 4814 10.22103/jmmr.2025.24821.1764 EN H. Mazaheri Department of Mathematics Sciences, Yazd University, Yazd, Iran A.W. Safi Department of Mathematics Sciences, Yazd University, Yazd, Iran S.M. Jesmani Department of Materials and Metallurgical Engineering, National University of Skills(NUS), Tehran, Iran Journal Article 2025 02 12 In this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our  consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest in constructing a theory similar to the classical one. We define complex $(p,q)-$Chebyshev wavelets. We estimate the wavelet approximation of a  continuous function $f \in L^2 [0,L]$. https://jmmrc.uk.ac.ir/article_4814_c4faec3856d8aac231ddf9210aef1674.pdf