Piecewise Weighted Mean Functions and Histograms

Demichelis, Vittoria

doi:10.1216/rmjm/1181071715

Cited by 3 publications

(2 citation statements)

References 5 publications

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“…The problem arises in many fields, such as numerical analysis, mathematical statistics, environmental science, mechanics, electricity, climatology, oceanography, and so on. We refer to [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] for its applied backgrounds and some recent developments.…”

Section: Introductionmentioning

confidence: 99%

A New Quintic Spline Method for Integro Interpolation and Its Error Analysis

Lang

2017

Algorithms

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Abstract:In this paper, to overcome the innate drawbacks of some old methods, we present a new quintic spline method for integro interpolation. The method is free of any exact end conditions, and it can reconstruct a function and its first order to fifth order derivatives with high accuracy by only using the given integral values of the original function. The approximation properties of the obtained integro quintic spline are well studied and examined. The theoretical analysis and the numerical tests show that the new method is very effective for integro interpolation.

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Section: Introductionmentioning

confidence: 99%

A New Quintic Spline Method for Integro Interpolation and Its Error Analysis

Lang

2017

Algorithms

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“…We limit ourselves to quote [2], [13], [8], [9], [10], [14], noting that the several approaches have furnished effective methods to the scientific community.…”

Section: Introductionmentioning

confidence: 99%

Shape preserving histogram approximation

Costantini

Pelosi

2006

Adv Comput Math

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Abstract. We present a new method for reconstructing the density function underlying a given histogram. First we analyze the univariate case taking the approximating function in a class of quadratic-like splines with variable degrees. For the analogous bivariate problem we introduce a new scheme based on the Boolean sum of univariate B-splines and show that for a proper choice of the degrees, the splines are positive and satisfy local monotonicity constraints.

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