Open AccessBook
Error Inequalities in Polynomial Interpolation and Their Applications
TLDR
In this article, the authors propose Lidstone Interpolation, Hermite Interpolations, Piecewise-Polynomial Interplacement, and Spline Interprocedure.Abstract:
1. Lidstone Interpolation. 2. Hermite Interpolation. 3. Abel-Gontscharoff Interpolation. 4. Miscellaneous Interpolation. 5. Piecewise-Polynomial Interpolation. 6. Spline Interpolation.read more
Citations
More filters
Journal ArticleDOI
A Nonlinear Autoregressive Exogenous (NARX) Neural Network Model for the Prediction of the Daily Direct Solar Radiation
Zina Boussaada,Zina Boussaada,Octavian Curea,Ahmed Remaci,Haritza Camblong,Najiba Mrabet Bellaaj +5 more
TL;DR: In this paper, a Nonlinear Autoregressive Exogenous (NARX) neural network was used to predict the solar radiation on a horizontal surface of a race sailboat.
Journal ArticleDOI
Quantum Hermite–Hadamard inequality by means of a Green function
TL;DR: In this article, the authors present the quantum Hermite-Hadamard inequality through the Green function approach and deduce some novel quantum identities, using these identities, they establish some new inequalities in this direction.
Journal ArticleDOI
Eigenvalues of Lidstone boundary value problems
TL;DR: The values of @l are characterized so that the boundary value problem has a positive solution and explicit intervals of@l are derived such that for any @l in the interval, existence of apositive solution of the boundaryvalue problem is guaranteed.
Journal ArticleDOI
A new approach to numerical differentiation and integration
TL;DR: In this paper, some new formulae for numerical differentiation and integration are derived by using interpolatory subdivision algorithms, which are originally designed for the generation of smooth curves and produce better numerical results if the data comes from functions with fractal-like derivatives.
Journal ArticleDOI
On optimal quadrature formulae
TL;DR: In this article, a procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed, and necessary and sufficient conditions under which such formularae do exist.