Modulus of Smoothness and K-Functionals Constructed by Generalized Laguerre-Bessel Operator

Abstract In this paper, we prove the equivalence between a K-functional and a modulus of smoothness generated by Laguerre-Bessel operator on 𝕂=[0,+∞[×[0,+∞[. \mathbb{K} = [0, + \infty [ \times [0, + \infty [.