Titlebook: Error Inequalities in Polynomial Interpolation and Their Applications; Ravi P. Agarwal,Patricia J. Y. Wong Book 1993 Springer Science+Busi

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,Piecewise — Polynomial Interpolation, that may be wildly oscillatory. To overcome this difficulty we divide the interval of interest into small subintervals and in each subinterval consider polynomials of relatively low degree and finally ‘piece together’ these polynomials. This subject has steadily developed over the past fifty years,

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Mathematics and Its Applicationshttp://image.papertrans.cn/e/image/314925.jpg

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978-94-010-4896-5Springer Science+Business Media Dordrecht 1993

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Overview: 978-94-010-4896-5978-94-011-2026-5

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Heidi E. De Luca,Wayne I. Lenceread of one. From the practical point of view such a development is very useful; and in terms of completely continuous functions it has been characterized in the work of Boas [9], Poritsky [19], Schoenberg [20], Whittaker [28, 29], Widder [30, 31], and others. In the field of approximation theory [12,27] the ..(.) of degree (2m — 1) satisfies the .

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Lidstone Interpolation,ead of one. From the practical point of view such a development is very useful; and in terms of completely continuous functions it has been characterized in the work of Boas [9], Poritsky [19], Schoenberg [20], Whittaker [28, 29], Widder [30, 31], and others. In the field of approximation theory [12,27] the ..(.) of degree (2m — 1) satisfies the .

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Hermite Interpolation,Let —∞ < a< b< ∞, and a ≤ a. < a. < … < a. ≤ b (r ≥ 2) be the given points. It is well known that the ..(.) of degree (n ? 1) (n ≥r) satisfying the ..exists uniquely [10,22].