Positive Interpolation Operators with Exponential-Type Weights
نویسندگان
چکیده
منابع مشابه
Positive Interpolation Operators with Exponential-Type Weights
Hee Sun Jung and Ryozi Sakai 1 Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea 2Department of Mathematics, Meijo University, Nagoya 468-8502, Japan Correspondence should be addressed to Hee Sun Jung; [email protected] Received 26 December 2012; Accepted 7 March 2013 Academic Editor: Roberto Barrio Copyright © 2013 H. S. Jung and R. Sakai. This is an ...
متن کاملDerivatives of Orthonormal Polynomials and Coefficients of Hermite-Fejér Interpolation Polynomials with Exponential-Type Weights
Let R −∞,∞ , and let Q ∈ C2 : R → 0,∞ be an even function. In this paper, we consider the exponential-type weights wρ x |x| exp −Q x , ρ > −1/2, x ∈ R, and the orthonormal polynomials pn w2 ρ;x of degree n with respect to wρ x . So, we obtain a certain differential equation of higher order with respect to pn w2 ρ;x and we estimate the higher-order derivatives of pn w2 ρ;x and the coefficients o...
متن کاملPositive Decompositions of Exponential Operators
The solution of many physical evolution equations can be expressed as an exponential of two or more operators. Approximate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether the decomposition coefficients are positive or negative. For timeirreversible ...
متن کاملQuadrature Sums and Lagrange Interpolation for General Exponential Weights
where > 0. Once the theory had been developed in its entirety, it became clear that one could simultaneously treat not only weights like those above, but also not necessarily even weights on a general real interval. See [3], [12], [16] for various perspectives on this type of potential theory and its applications. One important application is to Lagrange interpolation. Mean convergence of Lagra...
متن کاملStructure of positive decompositions of exponential operators.
The solution of many physical evolution equations can be expressed as an exponential of two or more operators acting on initial data. Accurate solutions can be systematically derived by decomposing the exponential in a product form. For time-reversible equations, such as the Hamilton or the Schrödinger equation, it is immaterial whether or not the decomposition coefficients are positive. In fac...
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 Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/421328