By Irshaad Ahmed and others

We consider *K*-interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt-type formula to be held in the limiting case *\theta_0=\theta_1\in\{0,1\}.* We also study the case *\theta_0=\theta_1\in (0,1).* Applications are given to Lorentz-Karamata spaces, generalized gamma spaces and Besov spaces.

October 22, 2022

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Holmstedt's formula for the $K$-functional: the limit case $θ_0=θ_1$

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