Some results on complex $(p,q)- $extnsion Chebyshev wavelets

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics Sciences, Yazd University, Yazd, Iran

2 Department of Materials and Metallurgical Engineering, National University of Skills(NUS), Tehran, Iran

Abstract

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 $f \in L^2 [0,L]$.

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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 14 May 2025

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  • Receive Date: 12 February 2025
  • Revise Date: 02 May 2025
  • Accept Date: 13 May 2025

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