Results 41 to 50 of about 546 (161)
On the Hermite interpolation polynomial
An elementary inductive proof of the Hermite interpolation polynomial is presented. The proof is constructive, i.e., it gives a method for determining the interpolation polynomial. A numerical example is given.
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Hermite interpolation by piecewise polynomial surfaces with polynomial area element [PDF]
This paper is devoted to the construction of polynomial 2-surfaces which possess a polynomial area element. In particular we study these surfaces in the Euclidean space $\mathbb R^3$ (where they are equivalent to the PN surfaces) and in the Minkowski space $\mathbb R^{3,1}$ (where they provide the MOS surfaces).
Bizzarri, Michal +3 more
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In this study, Levinson-type inequalities for the class of n-convex ( n ≥ 3 $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points.
Awais Rasheed +3 more
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Generalizations of Sherman's inequality by Hermite's interpolating polynomial [PDF]
Generalizations of Sherman's inequality for convex functions of higher order are obtained by applying Hermite's interpolating polynomials. The results for particular cases, namely, Lagrange, (m, n-m) and two-point Taylor interpolating polynomials are also cosidered. The Grüss and Ostrowski type inequalities related to these generalizations are given.
Khan, M. Adil +2 more
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Linearization of Lagrange and Hermite interpolating matrix polynomials [PDF]
This paper considers interpolating matrix polynomials P (λ) in Lagrange and Hermite bases. A classical approach to investigate the polynomial eigenvalue problem P (λ)x = 0 is linearization, by which the polynomial is converted into a larger matrix pencil with the same eigenvalues.
R. Van Beeumen +2 more
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The construction of the six-point block methods with extra derivatives for solving directly is presented in this paper. The suggested block methods concurrently approximate the problem's solution at six points and are formulated using the Hermite ...
Barakat Sajid Dahi +1 more
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Rotundone is a sesquiterpene that gives grapes and wine a desirable 'peppery' aroma. Previous research has reported that growing grapevines in a cool climate is an important factor that drives rotundone accumulation in grape berries and wine.
Pangzhen Zhang +5 more
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With an extension in service years, bridges inevitably suffer from performance deterioration. Columns are the main components of bridge structures, which support the superstructure. The damage of pier columns is often more harmful to bridges than that of
Jingzhou Xin +4 more
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Beyond Accuracy: Assessment of Statistical Imputation Techniques for Heart Rate Data [PDF]
Recent advances in wearable technology have enabled the continuous monitoring of vital physiological signals, essential for predictive modeling and early detection of extreme physiological events.
Gupta Vaibhav, Maleshkova Maria
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This article presents a preliminary study on the potential application of artificial intelligence methods for assessing the durability of HTS tapes in superconducting fault current limiters (SFCLs).
Sylwia Hajdasz +3 more
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