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On Approximation of Functions in the Generalized Zygmund Class Using \((E,r)(N,q_n)\) Mean Associated with Conjugate Fourier Series

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New Trends in Applied Analysis and Computational Mathematics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1356))

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Abstract

In the past few decades, a number of researchers have studied the error estimation of functions in various function spaces and obtained some useful results by using various summability techniques due to their wide applicability in science and engineering. The present study aims to establish a result on degree of approximation of conjugate Fourier series of functions in the generalized Zygmund class by using Euler–Nörlund product mean which generalizes several known results.

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Correspondence to Susanta Kumar Paikray .

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Padhy, B.P., Paikray, S.K., Mishra, A., Misra, U.K. (2021). On Approximation of Functions in the Generalized Zygmund Class Using \((E,r)(N,q_n)\) Mean Associated with Conjugate Fourier Series. In: Paikray, S.K., Dutta, H., Mordeson, J.N. (eds) New Trends in Applied Analysis and Computational Mathematics. Advances in Intelligent Systems and Computing, vol 1356. Springer, Singapore. https://doi.org/10.1007/978-981-16-1402-6_16

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