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AbstractAbstract
[en] This paper discusses methods and software for C1 interpolation at arbitrarily distributed data points in the plane. The primary results presented here are derivative-estimation procedures which lead to interpolatory surfaces constituting very accurate approximations for a variety of test functions
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Record Type
Journal Article
Journal
Rocky Mountain Journal of Mathematics; ISSN 0035-7596;
; v. 14(1); p. 223-264

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Hwang, In Sung; Lee, Woo Young, E-mail: ishwang@skku.edu, E-mail: wylee@math.snu.ac.kr2008
AbstractAbstract
[en] In this paper we derive a formula for the rank of the self-commutator of hyponormal block Toeplitz operators TΦ with matrix-valued rational symbols Φ in L∞(Cnxn) via the classical Hermite-Fejer interpolation problem
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Source
S1751-8113(08)80886-4; Available from http://dx.doi.org/10.1088/1751-8113/41/38/385206; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 41(38); [7 p.]

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Hrivnák, Jiří, E-mail: jiri.hrivnak@fjfi.cvut.cz2013
AbstractAbstract
[en] The discrete Fourier calculus of the four families of special functions, called C–, S–, Ss– and Sl -functions, is summarized. Functions from each of the four families of special functions are discretely orthogonal over a certain finite set of points. The generalizations of discrete cosine and sine transforms of one variable — the discrete Ss– and Sl-transforms of the group F4 — are considered in detail required for their exploitation in discrete Fourier spectral methods. The continuous interpolations, induced by the discrete expansions, are presented
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Source
ISQS21: 21. international conference on integrable systems and quantum symmetries; Prague (Czech Republic); 12-16 Jun 2013; Available from http://dx.doi.org/10.1088/1742-6596/474/1/012021; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Literature Type
Conference
Journal
Journal of Physics. Conference Series (Online); ISSN 1742-6596;
; v. 474(1); [7 p.]

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AbstractAbstract
[en] Non-relativistic potential models are considered of the pure power V(r)sgn(q)rq and logarithmic V(r)=ln(r) types. It is shown that, from the spectral viewpoint, these potentials are actually in a single family. The log spectra can be obtained from the power spectra by the limit q→0 taken in a smooth representation Pnl(q) for the eigenvalues Enl(q). A simple approximation formula is developed which yields the first 30 eigenvalues with an error less than 0.04%. (author)
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Secondary Subject
Source
Country of input: International Atomic Energy Agency (IAEA); Refs.; This record replaces 31030102
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Journal Article
Journal
Journal of Physics. G, Nuclear and Particle Physics (Online); ISSN 1361-6471;
; v. 26(6); p. 981-986

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AbstractAbstract
[en] Local operations with classical communication (LOCC) and separable operations are two classes of quantum operations that play key roles in the study of quantum entanglement. Separable operations are strictly more powerful than LOCC, but no simple explanation of this phenomenon is known. We show that, in the case of von Neumann measurements, the ability to interpolate measurements is an operational principle that sets apart LOCC and separable operations
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Source
(c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Falcon, Sergio, E-mail: sergio.falcon@ulpgc.es2016
AbstractAbstract
[en] In this paper we apply the concept of difference relation to the sequences of k–Fibonacci numbers. We will obtain general formulas to find any term of the ith k–Fibonacci difference sequence from the initial k–Fibonacci numbers. We also find formulas for the sum of the elements of these new sequences as well as their generating functions. Finally, we study the k–Fibonacci Newton polynomial interpolation.
Primary Subject
Source
S0960-0779(16)30125-4; Available from http://dx.doi.org/10.1016/j.chaos.2016.03.038; Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 87; p. 153-157

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AbstractAbstract
[en] The rationale for the polynomial root interpolation method is presented. The formulation of interpolators and their properties are given. A summary of surfaces fit by these interpolators is included. As an example, the appli- cation of the fitting procedure to a potential energy surface for the ground electronic state of water is calculated by the CNDO/2 method. Interpolation by polynomial roots shows promise, but has not yet been demonstrated to be a viable procedure. The problems still to be addressed are listed
Primary Subject
Source
Truhlar, D.G; p. 199-212; 1981; p. 199-212; Plenum; New York, NY; 180. American Chemical Society meeting/2. chemical congress of the North American Continent; Las Vegas, NV (USA); 24 - 29 Aug 1980
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Book
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Conference
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AbstractAbstract
No abstract available
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Source
(c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
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AbstractAbstract
[en] In this paper we use new function spaces and interpolation methods to study the dependence of the properties of summable multiple Fourier series on their coefficients. We obtain theorems for multiple orthogonal series that reinforce the Hardy-Littlewood theorem for trigonometric series. We prove inequalities of Hardy-Littlewood-Paley type for multiple orthogonal series that refine certain well-known inequalities of this kind
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Source
Available from http://dx.doi.org/10.1070/IM2000v064n01ABEH000275; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Izvestiya. Mathematics; ISSN 1064-5632;
; v. 64(1); p. 93-120

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AbstractAbstract
[en] The paper deals with the problem of extremal interpolation in the mean for large averaging intervals with the minimal value of the norm of a linear differential operator with constant real coefficients in the case when the extremal functions are L-splines
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Source
Available from http://dx.doi.org/10.1070/IM1998v062n04ABEH000193; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Izvestiya. Mathematics; ISSN 1064-5632;
; v. 62(4); p. 833-856

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