منابع مشابه
New formulas for Stirling-like numbers and Dobinski-like formulas
Extensions of the Stirling numbers of the second kind and Dobinski-like formulas are proposed in a series of exercises for graduetes. Some of these new formulas recently discovered by me are to be found in A.K.Kwaśniewski’s source paper [1]. These extensions naturally encompass the well known q-extensions.The indicatory references are to point at a part of the vast domain of the foundations of ...
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We study two different approximations of a multivariate function f by operators of the form ∑N i=1 Tr [f, xi](x)Wi(x), where {Wi} is an mreproducing partition of unity and Tr[f, xi](x) are modified Taylor polynomials of degree r expanded at xi. The first approximation was introduced by Xuli (2003) in the univariate case and generalized for convex domains by Guessab et al. (2005). The second one...
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We give an explicit expression for the kernel of the error functional for Gaussian quadrature formulas with respect to weight functions of BernsteinSzegö type, i.e., weight functions of the form (1 x)"(l + x)ß /p(x), x e (-1, 1), where a, ß £ {-\,\} and p is a polynomial of arbitrary degree which is positive on [-1, 1]. With the help of this result the norm of the error functional can easily be...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90129-2