Equivalence of K-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line - Advances in Pure Mathematics

APM > Vol.5 No.6, May 2015

Equivalence of K-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line ()

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DOI: 10.4236/apm.2015.56035 3,298 Downloads 4,364 Views Citations

Author(s)

Reem Fahad Al Subaie¹, Mohamed Ali Mourou^2*

Affiliation(s)

¹Department of Mathematics, College of Sciences for Girls, University of Dammam, Dammam, Kingdom of Saudi Arabia.
²Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, Monastir, Tunisia.

ABSTRACT

This paper is intended to establish the equivalence between K-functionals and modulus of smoothness tied to a Dunkl type operator on the real line.

KEYWORDS

Differential-Difference Operator, Generalized Fourier Transform, Generalized Translation Operators, K-Functionals, Modulus of Smoothness

Share and Cite:

Subaie, R. and Mourou, M. (2015) Equivalence of K-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line. Advances in Pure Mathematics, 5, 367-376. doi: 10.4236/apm.2015.56035.

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