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Approximation of Signals by \(E_l^1 E_l^1\) Product Summability Means of Fourier–Laguerre Expansion

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Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1440))

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Abstract

A lot of work has been done in the field of finding approximation of signals of Fourier–Laguerre series. Many researchers studied approximation of signals of Fourier–Laguerre series using Ces\(\grave{\text {a}}\)ro means, harmonic means, Euler summability means, (C, 2)(Eq) means. Also some researchers worked on approximation of signals of Fourier–Laguerre series using product summability, but upto now no work is done on approximation of signals of Fourier–Laguerre series using double summability. In present problem, we will prove a theorem on approximation of signals of Fourier Laguerre series by \(E_l^1E_l^1\) product Summability.

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Correspondence to Smita Sonker .

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Sonker, S., Devi, N. (2023). Approximation of Signals by \(E_l^1 E_l^1\) Product Summability Means of Fourier–Laguerre Expansion. In: Sahni, M., Merigó, J.M., Hussain, W., León-Castro, E., Verma, R.K., Sahni, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1440. Springer, Singapore. https://doi.org/10.1007/978-981-19-9906-2_5

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