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Some results on complex $(p,q)- $extnsion Chebyshev wavelets | ||
| Journal of Mahani Mathematical Research | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 اردیبهشت 1404 اصل مقاله (512.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2025.24821.1764 | ||
| نویسندگان | ||
| H. Mazaheri* 1؛ A.W. Safi1؛ S.M. Jesmani2 | ||
| 1Department of Mathematics Sciences, Yazd University, Yazd, Iran | ||
| 2Department of Materials and Metallurgical Engineering, National University of Skills(NUS), Tehran, Iran | ||
| چکیده | ||
| 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 $f \in L^2 [0,L]$. | ||
| کلیدواژه‌ها | ||
| Complex $(p؛ q)-$Chebyshev wavelets؛ $(p؛ q)-$Chebyshev polynomials | ||
| مراجع | ||
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[8] Nigam, H. K. Mohapatra, R. N. & Murari, K., Wavelet approximation of a function using, Chebyshev wavelets. Thai J. Math. (2020), 197-208. https://doi.org/10.1186/s13660-020-02453-2.
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[10] Jesmani, S. M., Mazaheri, H., & Shojaeian, S.,Wavelet approximation with Chebyshev. Iranian Journal of Numerical Analysis and Optimization. 14 (2024), no. 28, 315-329. doi: 10.22067/IJNAO.2023.84431.1315.
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