Constructive function theory: Difference between revisions

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In [[mathematical analysis]], '''constructive function theory''' is a field which studies the connection between the smoothness of a [[Function (mathematics)|function]] and its degree of [[approximation theory|approximation]].<ref>{{cite web|url=http://encyclopedia2.thefreedictionary.com/Constructive+Theory+of+Functions|title=Constructive Theory of Functions}}</ref><ref>{{SpringerEOM|id=Constructive_theory_of_functions|title=Constructive theory of functions|first=S.A.|last=Telyakovskii}}</ref>. It is closely related to [[approximation theory]]. The term was coined by [[Sergei Bernstein]].

==Example==

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==References==

* {{Cite book |first=N. I. |last=Achiezer |author-link=Naum Akhiezer|title=Theory of approximation |otherstranslator=Translated by Charles J. Hyman |publisher=Frederick Ungar Publishing |___location=New York |year=1956 }}

* {{cite book|mr=0196340|last=Natanson|first=I. P.|author-link=Isidor Natanson|title=Constructive function theory. Vol. I. Uniform approximation|publisher=Frederick Ungar Publishing Co.|___location=New York|year=1964}}

: {{cite book|mr=0196341|last=Natanson|first=I. P.|author-link=Isidor Natanson|title=Constructive function theory. Vol. II. Approximation in mean|publisher=Frederick Ungar Publishing Co.|___location=New York|year=1965}}

: {{cite book|mr=0196342|last=Natanson|first=I. P.|author-link=Isidor Natanson|title=Constructive function theory. Vol. III. Interpolation and approximation quadratures|publisher=Ungar Publishing Co.|___location=New York|year=1965}}

[[Category:Approximation theory]]