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Equivalence of K-functionals and modulus of smoothness generated by a Bessel type operator on the interval [0, 1]

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Abstract

The purpose of this article is to establish the equivalence between a K-functional and a modulus of smoothness generated by a Bessel type operator on the interval [0, 1] in the metrics of \(\mathbb {L}_{2}\) with a certain weight.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca, Morocco

    S. El Ouadih & R. Daher

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  1. S. El Ouadih
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  2. R. Daher
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Correspondence to S. El Ouadih.

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Ouadih, S.E., Daher, R. Equivalence of K-functionals and modulus of smoothness generated by a Bessel type operator on the interval [0, 1]. J. Pseudo-Differ. Oper. Appl. 9, 933–951 (2018). https://doi.org/10.1007/s11868-017-0218-8

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  • DOI: https://doi.org/10.1007/s11868-017-0218-8

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