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- W2022173755 abstract "This paper aims at constructing a two-phase iterative numerical algorithm for the improved approximation of a continuousfunction by the ‘Modified Szasz’ operator. The algorithm uses a ‘statistical perspective’ to more fully expoit the informationabout the unknown function f . The improvement occurs iteratively. A typical iteration uses the twin statisticalconcepts of ‘Mean Square Error’ (MSE) and ‘Bias’; the application of the latter concept being preceded by that of theformer in the algorithm. At any iteration, the statistical concept of ‘MSE’ is used in “Phase II”, after that of the ‘Bias’ in“Phase I”. The procedure is like a sandwich. The top and bottom slices are the operations of ‘Bias-Reduction’ in “PhaseI” of the algorithm, and the operation of ‘MSE-Reduction’ in “Phase II” is the stuffing in the sandwich. The improvementacheived by this algorithm is evaluated by means of a simulation study using known functions. The simulation has beenconfined to three iterations only, for the sake of simplicity." @default.
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- W2022173755 date "2010-04-19" @default.
- W2022173755 modified "2023-10-03" @default.
- W2022173755 title "A Two-phase Iterative Algorithm for Improved Approximation by Szasz Operator Using Statistical Perspectives" @default.
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- W2022173755 doi "https://doi.org/10.5539/jmr.v2n2p123" @default.
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