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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2016, Volume 439, Issue 1, pp. 32 - 56
...., approximation power), regularity and support size. Such a family includes, as special members, B-spline functions, universally known for their usefulness in different fields of application... 
Exponential B-spline | Exponential polynomial reproduction | Nonstationary subdivision | Minimal support | Exponential pseudo-spline | NONSTATIONARY SUBDIVISION SCHEMES | MATHEMATICS | MATHEMATICS, APPLIED | POLYNOMIAL REPRODUCTION | FRAMEWORK | FINITE-ELEMENT-ANALYSIS
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 09/2018, Volume 45, Issue 2, pp. 341 - 358
We introduce a universal and systematic way of defining a generalized B-spline based on a linear shift-invariant (LSI) operator L (a.k.a. Fourier multiplier... 
Differential operator | Discrete approximation | Transfer function | Spline | MATHEMATICS, APPLIED | EXPONENTIAL SPLINES
Journal Article
Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 12/2018, Volume 42, Issue 4, pp. 2189 - 2198
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 10/2012, Volume 37, Issue 3, pp. 301 - 318
We provide an explicit formula for a large class of exponential B-splines. Also, we characterize the cases where the integer-translates of an exponential B-spline form a partition of unity up to a multiplicative constant... 
Frames | Algebra | Calculus of Variations and Optimal Control; Optimization | Computer Science | Numeric Computing | Mathematics, general | Theory of Computation | Dual frames | 42C15 | Exponential B-splines | INTERPOLATION | MATHEMATICS, APPLIED | ALGORITHMS
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 08/2014, Volume 184, pp. 209 - 237
We study totally positive (TP) functions of finite type and exponential B-splines as window functions for Gabor frames... 
Exponential B-spline | Gabor frame | Zak transform | Total positivity | MATHEMATICS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2008, Volume 219, Issue 2, pp. 509 - 517
.... We present an alternative algorithm for their computation, based on the representation of HPF in terms of integral remainders with B-splines as Peano kernels... 
Computation of the exponential | Hermite-Padé approximation | MATHEMATICS, APPLIED | COMPUTATION | Hermite-Pade approximation | computation of the exponential | Algorithms | Numerical Analysis | Mathematics
Journal Article
Nonlinear Engineering, ISSN 2192-8010, 06/2018, Volume 7, Issue 2, pp. 113 - 125
...) dimensional hyperbolic telegraph equations. The mExp-DQM (i.e., differential quadrature method with modified exponential cubic B-splines as new basis... 
mExp-DQM | 35L04 | 74Sxx | hyperbolic telegraph equation | Thomas algorithm | 35L10 | Differential quadrature method | modified exponential cubic B-splines | Algorithms | Splines | Numerical methods | Differential equations | Eigenvalues | Norms | Ordinary differential equations | Time integration
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 11/2011, Volume 2011, pp. 1 - 17
This paper is concerned with analyzing the mathematical properties, such as the regularity and stability of nonstationary biorthogonal wavelet systems based on exponential B-splines... 
MATHEMATICS | SUBDIVISION SCHEMES | ALGORITHMS | MULTIRESOLUTION ANALYSIS | LINEAR INDEPENDENCE | CONSTRUCTION | Wavelet transforms | Functions, Exponential | Research | Spline theory
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2016, Volume 272, pp. 53 - 63
.... They can be seen as a generalization and extension of the Keys interpolation kernel using cardinal exponential B-splines... 
Compact support | Interpolation | Parametric surfaces | Parametric curves | Exponential B-splines | B-splines | MATHEMATICS, APPLIED | DESIGN | CARDINAL EXPONENTIAL SPLINES | CONSTRUCTION | SUBDIVISION SCHEMES
Journal Article
Biometrika, ISSN 0006-3444, 01/2015, Volume 103, Issue 1, pp. 121 - 131
This article develops a unified framework to study the asymptotic properties of all periodic spline-based estimators, that is, of regression, penalized and... 
Equivalent kernel | Euler-Frobenius polynomial | Exponential spline | B-spline | Demmler-Reinsch basis | SMOOTHING NOISY DATA | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | PENALIZED SPLINES | STATISTICS & PROBABILITY | ASYMPTOTICS | KERNELS
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2016, Volume 13, Issue 6, pp. 4975 - 4994
In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one-dimensional Boussinesq systems numerically... 
collocation | solitary waves | 65M70 | 76B25 | 35Q99 | Mathematics, general | Mathematics | Boussinesq systems | wave generation | 65D07 | exponential cubic B-spline | 35C07 | MATHEMATICS | MATHEMATICS, APPLIED | COLLOCATION METHOD | EQUATIONS | Water waves
Journal Article
Journal of Abstract and Computational Mathematics, ISSN 2149-7168, 05/2018, Volume 3, Issue 2, pp. 01 - 10
The goal of the present paper is to present numerical treatments for solving matrix differential equations of second order using exponential and trigonometric cubic B-splines... 
trigonometric cubic B-spline | kronecker product | Matrix differential equations | frobenius norm | exponential cubic B-spline
Journal Article
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, ISSN 0340-6253, 2017, Volume 77, Issue 2, pp. 507 - 526
.... The sinc differential quadrature combined with third-fourth order implicit Rosenbrock and exponential B-spline collocation methods are setup to obtain the numerical solutions of the mentioned problems... 
DIFFERENTIAL QUADRATURE | SELF-REPLICATING SPOTS | GALERKIN METHOD | BOUNDARY-VALUE-PROBLEMS | REACTION-DIFFUSION SYSTEM | EXPONENTIAL B-SPLINES | CHEMISTRY, MULTIDISCIPLINARY | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SINC-COLLOCATION METHOD | FISHERS EQUATION | OSCILLATIONS
Journal Article
by Dag, I and Ersoy, O
AIP Conference Proceedings, ISSN 0094-243X, 03/2015, Volume 1648
Conference Proceeding
IEICE transactions on fundamentals of electronics, communications and computer sciences, ISSN 0916-8508, 06/2002, Volume 85, Issue 6, pp. 1265 - 1273
Journal Article
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