Results 11 to 20 of about 935 (177)
Generalized trigonometric interpolation [PDF]
Journal of Computational and Applied Mathematics, 2019 This article proposes a generalization of the Fourier interpolation formula, where a wider range of the basic trigonometric functions is considered. The extension of the procedure is done in two ways: adding an exponent to the maps involved, and considering a family of fractal functions that contains the standard case.
M. A. Navascués +3 more
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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The embedding theorems for anisotropic Nikol’skii-Besov spaces with generalized mixed smoothness [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The theory of embedding of spaces of differentiable functions studies the important relations of differential (smoothness) properties of functions in various metrics and has a wide application in the theory of boundary value problems of ...
K.A. Bekmaganbetov +2 more
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Trigonometric interpolation [PDF]
Proceedings of the Edinburgh Mathematical Society, 1992 We consider interpolation at 2n equidistant nodes in [0,π) from the space ℱN spanned by sines and cosines of odd multiples of x. This interpolation problem is shown to be correct for an arbitrary sequence of derivatives specified at all the nodes.
Goodman, T. N. T., Sharma, A.
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Advances in Mechanical Engineering, 2020 Ensemble local mean decomposition has been gradually introduced into mechanical vibration signal processing due to its excellent performance in electroencephalogram signal analysis.
Pei Chen +5 more
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Quadratic trigonometric B-spline for image interpolation using GA. [PDF]
PLoS ONE, 2017 In this article, a new quadratic trigonometric B-spline with control parameters is constructed to address the problems related to two dimensional digital image interpolation.
Malik Zawwar Hussain +2 more
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On Trigonometric Interpolation [PDF]
Proceedings of the American Mathematical Society, 1952 which in case of derivatives take the place of (1). (ArP(t)/(At)r is the rth divided difference formed with the constant increment At =2wx/(2n+1)), and we shall show that here, as in Marcinkiewicz's case, the exponent 2 can be replaced by any p ?1. As an application, we shall give bounds for the p-norms of the derivatives of interpolating polynomials ...
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An exponential-trigonometric spline minimizing a seminorm in a Hilbert space
Advances in Difference Equations, 2020 In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^{1}(\varphi {'''}(x)+\
Kholmat M. Shadimetov, Aziz K. Boltaev
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On osculatory interpolation by trigonometric polynomials
International Journal of Mathematics and Mathematical Sciences, 1979 A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.
D. J. Newman, L. A. Rubel
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Journal of Nigerian Society of Physical Sciences, 2022 This paper considered the formulation of continuous third derivative trigonometrically fitted method for the solution of oscillatory first order initial value problems using the technique of interpolation and collocation of the approximate solution by ...
M. Kida +3 more
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