Displaying similar documents to “An extended interpolation inequality”

The derivates of functions of intervals

I. Burkill (1924)

Fundamenta Mathematicae

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The object of the present paper is to investigate the possible values of the derivates of a function g(I) (where I is given interval), assuming that ∫_{R}g(I) exists.

The Muckenhoupt class A₁(R)

B. Bojarski, C. Sbordone, I. Wik (1992)

Studia Mathematica

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It is shown that the Muckenhoupt structure constants for f and f* on the real line are the same.

Onesided approximation and real interpolation.

N. Krugljak, E. Matvejev (1997)

Collectanea Mathematica

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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.