A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
2000 Mathematics Subject Classification: 41A25, 41A36. The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness. This modulus is based on the classical one taken on a certain linear transform of the function.