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In [[functional analysis]], a discipline within [[mathematics]], the '''Szász–Mirakjan–Kantorovich operators''' are defined by


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:<math>[\mathcal{T}_n(f)](x)=ne^{-nx}\sum_{k=0}^\infty{\frac{(nx)^k}{k!}\int_{k/n}^{(k+1)/n}f(t)\,dt}</math>
 
where <math>x\in[0,\infty)\subset\mathbb{R}</math> and <math>n\in\mathbb{N}</math>.<ref name="Walczak">{{cite journal|last=Walczak|first=Zbigniew|year=2002|title=On approximation by modified Szasz–Mirakyan operators|journal=Glasnik Matematički|volume=37|issue=57|pages=303–319|url=http://web.math.hr/glasnik/vol_37/no2_08.html}}</ref>
 
==See also==
*[[Szász–Mirakyan operator]]
 
==Notes==
<references/>
 
==References==
*{{cite journal|last=Totik|first=V.|authorlink=Vilmos Totik|date=June 1983|title=Approximation by Szász–Mirakjan–-Kantorovich operators in ''L''<sup>''p''</sub> (''p''&nbsp;>&nbsp;1)|journal=Analysis Mathematica|volume=9|issue=2|pages=147–167|doi=10.1007/BF01982010|mr=85h:41053 | zbl = 0513.41012}} {{ru icon}}
 
{{DEFAULTSORT:Szasz-Mirakjan-Kantorovich Operator}}
[[Category:Approximation theory]]
 
 
{{mathanalysis-stub}}

Revision as of 04:58, 18 February 2013

In functional analysis, a discipline within mathematics, the Szász–Mirakjan–Kantorovich operators are defined by

[𝒯n(f)](x)=nenxk=0(nx)kk!k/n(k+1)/nf(t)dt

where x[0,) and n.[1]

See also

Notes

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References

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    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

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