The Equivalence Theorem for a K-Functional and a Modulus of Smoothness Constructed by a Singular Differential-Difference Operator on  R

R. F. Al Subaie; M. A. Mourou

doi:10.9734/BJMCS/2015/19652

Research Article Open access CC BY 4.0

The Equivalence Theorem for a K-Functional and a Modulus of Smoothness Constructed by a Singular Differential-Difference Operator on R

R. F. Al Subaie, M. A. Mourou

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 24 Jul 2015

10.9734/BJMCS/2015/19652

Abstract

The purpose of this article is to establish the equivalence between a K-functional and a modulus of smoothness generated by a Dunkl type operator on the real line.

Differential-difference operator generalized fourier transform generalized translation operator K-functional Modulus of smoothness.

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R. F. Al Subaie, M. A. Mourou (2015). The Equivalence Theorem for a K-Functional and a Modulus of Smoothness Constructed by a Singular Differential-Difference Operator on R. Journal of Advances in Mathematics and Computer Science , 1–14. https://doi.org/10.9734/BJMCS/2015/19652

Affiliations

R. F. Al Subaie — Department of Mathematics, College of Sciences for Girls, University of Dammam, P.O.Box 1982, Dammam 31441, Saudi Arabia.
M. A. Mourou — Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5019, Monastir, Tunisia.

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