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On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras

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Abstract

In this research, we look at problems in the theory of approximation of functions in real Clifford algebras. We prove analogues of direct and inverse approximation theorems in terms of best approximations of functions with bounded spectrum and the moduli of smoothness of all orders constructed by the generalized Steklov operators.

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  1. Laboratory of Fundamental and Applied Mathematics, Department of Mathematics, Faculty of Sciences Aïn Chock, University Hassan II, Casablanca, Morocco

    Othman Tyr & Radouan Daher

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  1. Othman Tyr
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  2. Radouan Daher
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Equal contributions by all authors. All authors read and approved the final manuscript.

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Correspondence to Othman Tyr.

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Communicated by Uwe Kaehler.

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Tyr, O., Daher, R. On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras. Adv. Appl. Clifford Algebras 33, 11 (2023). https://doi.org/10.1007/s00006-023-01261-3

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