Szász-Mirakyan-Kantorovich operator

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

:$[mathcal\{T\}\_n(f)]\; (x)=ne^\{-nx\}sum\_\{k=0\}^infty\{frac\{(nx)^k\}\{k!\}int\_\{k/n\}^\{(k+1)/n\}f(t),dt\}$

where $xin\; [0,infty)subsetmathbb\{R\}$ and $ninmathbb\{N\}$.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]

ee also

*Szász-Mirakyan operators

References

*cite journal|last=Totik|first=V.|year=1983|month=June|title=Approximation by Szász-Mirakjan-Kantorovich operators in $mathcal\{L\}^p$ ($p>1$)|journal=Analysis Mathematica|volume=9|issue=2|pages= 147-167|doi=10.1007/BF01982010|id=MR|85h:41053, Zbl|0513.41012 ru icon

Footnotes