Equivalence of K-functionals and modulus of smoothness generated by a generalized Jacobi–Dunkl transform on the real line

Author:

Daher Radouan,Tyr OthmanORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Peetre, J.: A theory of interpolation of normed spaces. Notes de Universidade de Brasilia, pp. 88. Brasilia (1963)

2. Butzer, P.L., Behrens, H.: Semi-Groups of Operators and Approximation. Springer, Berlin (1967)

3. Trimeche, K.: Transformation Intégrale de Weyl et Théorème de Paley–Wiener associés à un operateur differentiel singulier sur $$(0,+\infty )$$. J. Math. Pures Appl. 60, 51–98 (1981)

4. El Hamma, M., Daher, R.: Equivalence of K-functionals and modulus of smoothness constructed by generalized Jacobi transform. Integr. Transf. Spec. Funct. 30(12), 1018–1024 (2019)

5. Belkina, E.S., Platonov, S.S.: Equivalence of K-functionals and modulus of smoothness constructed by generalized Dunkl translations. Russ. Math. 52, 1–11 (2008)

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