A type of abstract space which occurs in spline and rational function approximations. The Besov
space 
is a complete quasinormed
space which is a Banach space when 
, 
(Petrushev and Popov 1987).
Besov Space
See also
Banach SpaceExplore with Wolfram|Alpha
References
Bergh, J. and Löfström, J. Interpolation Spaces. New York: Springer-Verlag, 1976.Peetre, J. New Thoughts on Besov Spaces. Durham, NC: Duke University Press, 1976.Petrushev, P. P. and Popov, V. A. "Besov Spaces." §7.2 in Rational Approximation of Real Functions. New York: Cambridge University Press, pp. 201-203, 1987.Triebel, H. Interpolation Theory, Function Spaces, Differential Operators. New York: Wiley, 1998.Referenced on Wolfram|Alpha
Besov SpaceCite this as:
Weisstein, Eric W. "Besov Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BesovSpace.html