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- W2434626192 abstract "In our previous paper [9] we have introduced and studied a parameter-dependent linear positive operator W m 〈α〉 (m=1,2,...) of Meyer-König and Zeller-type. Denoting by u (n,h) the factorial power of order n(n≥0) and increment h of u, that is $$[tex]{u^{(n,h)}} = u(u - h)...(u - overline {n - 1} h),{u^{(o,h)}} = 1[/tex]$$ the operator W m 〈α〉 , associated to a function f:[0,1] → ℝ, can be defined by $$[tex](W_m^{langle alpha rangle }f)(x) = sumlimits_{k = 0}^infty {w_{m,k}^{langle alpha rangle }(x)f(frac{k}{{m + k}})} [/tex] $$ where x ∊ [0,1) and $$[tex]W_{m,k}^{langle alpha rangle }(x) = (frac{{m + k}}{k})frac{{{x^{(k, - alpha )}}{{(1 - x)}^{(m + 1, - alpha )}}}}{{{1^{(m + k + 1, - alpha )}}}}[/tex]$$, α being a non-negative parameter." @default.
- W2434626192 created "2016-06-24" @default.
- W2434626192 creator A5059135907 @default.
- W2434626192 date "1975-01-01" @default.
- W2434626192 modified "2023-09-25" @default.
- W2434626192 title "Evaluation of the Remainders in Certain Approximation Procedures by Meyer-König and Zeller-Type Operators" @default.
- W2434626192 cites W2045177303 @default.
- W2434626192 cites W4230690518 @default.
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- W2434626192 doi "https://doi.org/10.1007/978-3-0348-5961-5_16" @default.
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