Cardinal Interpolation And Generalized Exponential Euler Splines
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Cardinal Interpolation and Generalized Exponential Euler Splines
The problem of determining, for given t not= 0,1 and given cardinal spline S*(x) of degree n, a cardinal spline S(x) of degree n satisfying S(x + 1) - tS(x) = S*(x), S(0) = B (a given constant), is studied with the aid of certain generalized Exponential Euler polynomials.
Cardinal Spline Interpolation
As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms.
Frontiers in Interpolation and Approximation
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolati