Trigonometric interpolation, I

R. Taberski

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Trigonometric interpolation, II

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Some orthogonalities in approximation theory.

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Trigonometric interpolation, III

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Onesided approximation and real interpolation.

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It is proved that the reiteration theorem is not valid for the spaces Ap (theta,q) defined by V. Popov by means of onesided approximation. It is also proved that a class of cones, defined by onesided approximation of piecewise linear functions on the interval [0,1], is stable for the real interpolation method.