Multivariate spline functions. II. Best error bounds
نویسندگان
چکیده
منابع مشابه
Best Error Bounds of Quartic Spline Interpolation
In this paper, we have obtained existence, uniqueness, best error bound and convergence properties of C Deficient Quartic Spline Interpolation. Classification Code Ø 41A05, 65D07.
متن کاملOn Smooth Multivariate Spline Functions
In this paper the dimensions of bivariate spline spaces with simple cross-cut grid partitions are determined and expressions of their basis functions are given. Consequently, the closures of these spaces over all partitions of the same type can be determined. A somewhat more detailed study on bivariate splines with rectangular grid partitions is included. The results in this paper can be applie...
متن کاملError Bounds for Polynomial Spline Interpolation
New upper and lower bounds for the L2 and Vo norms of derivatives of the error in polynomial spline interpolation are derived. These results improve corresponding results of Ahlberg, Nilson, and Walsh, cf. [1], and Schultz and Varga, cf. [5].
متن کاملQuantum error detection II: Bounds
In Part I of this paper we formulated the problem of error detection with quantum codes on the completely depolarized channel and gave an expression for the probability of undetected error via the weight enumerators of the code. In this part we show that there exist quantum codes whose probability of undetected error falls exponentially with the length of the code and derive bounds on this expo...
متن کاملBounds for Functions of Multivariate Risks
Abstract. Li, Scarsini, and Shaked (1996a) provide bounds on the distribution and the tail for functions of dependent random vectors having fixed multivariate marginals. In this paper, we correct a result stated in the above article and we give improved bounds in the case of the sum of identically distributed random vectors. Moreover, we provide the dependence structures meeting the bounds when...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1975
ISSN: 0021-9045
DOI: 10.1016/0021-9045(75)90109-4