Shape preserving approximations by polynomials and splines
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Publication:1368458
DOI10.1016/S0898-1221(97)00087-4zbMath0911.65006OpenAlexW2013069667MaRDI QIDQ1368458
Ljubiša Kocić, Gradimir V. Milovanović
Publication date: 22 April 1999
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00087-4
algorithmspositive linear operatorsmonotonicity and/or convexity preserving interpolationsrational polynomial splinesshape preserving methods
Numerical computation using splines (65D07) Approximation with constraints (41A29) Spline approximation (41A15)
Related Items (17)
Approximation with certain Post-Widder operators ⋮ \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ Parametric representation of fuzzy numbers and application to fuzzy calculus ⋮ Some non-monotone schemes for time dependent Hamilton-Jacobi-Bellman equations in stochastic control ⋮ A new class of nonlinear monotone Hermite interpolants ⋮ Piecewise rational interpolation by witch of Agnesi ⋮ Log-concavity preserving property of Bernstein operators and Bernstein semigroup ⋮ A shape-preserving spline interpolation for sampling designs from inverse distributions ⋮ Shape preserving rational [3/2 Hermite interpolatory subdivision scheme] ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Optimal estimation of univariate black-box Lipschitz functions with upper and lower error bounds. ⋮ A nonlinear algorithm for monotone piecewise bicubic interpolation ⋮ Third-order accurate monotone cubic Hermite interpolants ⋮ Approximate fuzzy arithmetic operations using monotonic interpolations ⋮ Interpolation of Lipschitz functions ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Shape preserving Hermite subdivision scheme constructed from quadratic polynomial
Uses Software
Cites Work
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