Generalized L-splines and the multi-point boundary value problem [Abstract of thesis]
Carmen Simerská (1988)
Commentationes Mathematicae Universitatis Carolinae
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Carmen Simerská (1988)
Commentationes Mathematicae Universitatis Carolinae
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Jaroslav Hora (1988)
Commentationes Mathematicae Universitatis Carolinae
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Journal for Geometry and Graphics
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Branga, Adrian (1996)
General Mathematics
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Rendiconti del Seminario Matematico
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Applications of Mathematics
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For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.