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Best trigonometric approximation and Dini-Lipschitz classes

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Abstract

In this paper, we prove an analog of Younis’s result (Younis in Int J Math Math Sci 9(2):301–312, 1986 , Theorem 5.2) on the image under the discrete Fourier–Jacobi transform of a set of functions satisfying the Dini-Lipschitz functions in the space \(\mathbb {L}_{2}^{(\alpha ,\beta )}\).

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Acknowledgements

The authors would like to thank the referee for his valuable comments and suggestions.

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El Ouadih, S., Daher, R. Best trigonometric approximation and Dini-Lipschitz classes. J. Pseudo-Differ. Oper. Appl. 9, 903–912 (2018). https://doi.org/10.1007/s11868-017-0223-y

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  • DOI: https://doi.org/10.1007/s11868-017-0223-y

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