Geodesic
A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
Serdica Mathematical Journal, Tome 32 (2006) no. 4, pp. 303-322.

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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.
Keywords: K-Functional, Modulus of Smoothness, Jackson Integral 
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     title = {A {Characterization} {Theorem} for the {K-functional} {Associated} with the {Algebraic} {Version} of {Trigonometric} {Jackson} {Integrals}},
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Zapryanova, T. A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals. Serdica Mathematical Journal, Tome 32 (2006) no. 4, pp. 303-322. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_4_a2/