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Belkina, E.S. and Platonov, S.S. (2008) Equivalence of K-Functionnals and Modulus of Smoothness Constructed by Generalized Dunkl Translations. Izvestiya Vysshikh Uchebnykh Zavedenii Matematika, 8, 3-15.

has been cited by the following article:

• TITLE: Equivalence of K-Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line

  AUTHORS: Reem Fahad Al Subaie, Mohamed Ali Mourou

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.6, May 28, 2015

  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.