1997RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya)Open access

Onesided approximation and real interpolation

Natan Krugljak, E. Matvejev

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Abstract

It is proved that the reiteration theorem is not valid for the spaces $A^{\theta,q}_p$ 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.

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It is proved that the reiteration theorem is not valid for the spaces $A^{\theta,q}_p$ 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.

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Available abstract

It is proved that the reiteration theorem is not valid for the spaces $A^{\theta,q}_p$ 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.

Key concepts: Mathematics, Interpolation (computer graphics), Class (philosophy), Mathematical analysis, Linear interpolation, Applied mathematics, Pure mathematics, Computer science

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