Geodesic
Bernstein widths of embedding operators of Lebesgue spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 166-169

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Let $(K,\mu)$ be a measurable space, and let $\mu(K)=1$. Let $$ \textrm I_{p,q}\colon L^p\,(K,\mu)\longrightarrow L^q(K,\mu) $$ be the embedding operator. The Bernstein widths of $\textrm I_{p,q}$ are considered. 
@article{ZNSL_1997_247_a10,
     author = {O. G. Parfenov and M. W. Slupko},
     title = {Bernstein widths of embedding operators of {Lebesgue} spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {166--169},
     publisher = {mathdoc},
     volume = {247},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/}
}
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O. G. Parfenov; M. W. Slupko. Bernstein widths of embedding operators of Lebesgue spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 166-169. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a10/