bivariate mean value interpolation on circles of the same radius
نویسندگان
چکیده
we consider bivariate mean-value interpolationproblem, where the integrals over circles are interpolation data. in this case the problem is described over circles of the same radius and with centers are on astraight line and it is shown that in this case the interpolation is not correct.
منابع مشابه
Bivariate mean value interpolation on circles of the same radius
We consider bivariate mean-value interpolationproblem, where the integrals over circles are interpolation data. In this case the problem is described over circles of the same radius and with centers are on astraight line and it is shown that in this case the interpolation is not correct.
متن کاملMEAN VALUE INTERPOLATION ON SPHERES
In this paper we consider multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have concentric spheres. Indeed, we consider the problem in three variables when it is not correct.
متن کاملTransfinite mean value interpolation
Transfinite mean value interpolation has recently emerged as a simple and robust way to interpolate a function f defined on the boundary of a planar domain. In this paper we study basic properties of the interpolant, including sufficient conditions on the boundary of the domain to guarantee interpolation when f is continuous. Then, by deriving the normal derivative of the interpolant and of a m...
متن کاملTransfinite mean value interpolation in general dimension
Mean value interpolation is a simple, fast, linearly precise method of smoothly interpolating a function given on the boundary of a domain. For planar domains, several properties of the interpolant were established in a recent paper by Dyken and the second author, including: sufficient conditions on the boundary to guarantee interpolation for continuous data; a formula for the normal derivative...
متن کاملTransfinite mean value interpolation in 3D
s for MAIA 2007 The limits of bivariate Lagrange projectors Carl de Boor∗ and Boris Shekhtman Eastsound, Washington In a talk in Norway in 2003, the first author conjectured that any finite-rank ideal projector (i.e., finite-rank linear projector on the space of polynomials in d variables whose kernel is a polynomial ideal, i.e., a linear space also closed under pointwise multiplication by poly...
متن کاملOn the mean radius of permutation polytopes
Let X S n be a subset of the symmetric group S n and let Q X IR n 2 be the convex hull of the set of permutation matrices representing the elements of X in IR n 2. We present some formulas relating the cardinality of X and the maximal value of a typical linear function on Q X. Applications to the average case analysis of Combinatorial Optimization problems and to eecient counting are discussed.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 38
شماره 1 2012
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023