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

Author:

Tyr OthmanORCID,Daher Radouan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference33 articles.

1. Achak, A., Ahmad, O., Belkhadir, A., Daher, R.: Jackson theorems for the quaternion linear canonical transform. Adv. Appl. Clifford Algebras 32(41) (2022)

2. Akhiezer, N.I.: Lectures on Approximation Theory, 2nd edn. Nauka, Moscow (1965) (Engl. transl. of the 1st edn. (1947): Theory of Approximation, Ungar, New York, 1956) (in Russian)

3. Bernstein, S.N.: On the best approximation of continuous functions by polynomials of given degree, 1912, In: Collected Works 1, Acad. Nauk SSSR, Moscow, pp. 11–104 (1952) (in Russian)

4. Brackx, F., De Schepper, N., Sommen, F.: The Clifford Fourier transform. J. Fourier Anal. Appl. 6(11), 668–681 (2005)

5. Brackx, F., De Schepper, N., Sommen, F.: The Fourier transform in Clifford analysis. Adv. Imaging Electron Phys. 156, 55–201 (2009)

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1. Bernstein’s inequalities and Jackson’s inverse theorems in the Laguerre hypergroup;Analysis and Mathematical Physics;2024-02-03

2. Beurling’s Theorem in the Clifford Algebras;Advances in Applied Clifford Algebras;2023-06-03

3. Jackson’s inequalities in Mellin’s analysis;ANNALI DELL'UNIVERSITA' DI FERRARA;2023-04-17

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