Results 231 to 240 of about 10,186 (263)
Some of the next articles are maybe not open access.
The Rational Approximation of Real Functions
American Journal of Mathematics, 1978Publisher Summary This chapter discusses the rational approximation of real functions. The chapter is closely related to the classical theory of best uniform approximation of continuous functions by quotients of polynomials. The chapter illustrates that if the function being approximated is the real function f, then its best approximation in P n ( ℭ
openaire +2 more sources
On the rational approximation of functions of the classV
Acta Mathematica Hungarica, 1974exaly +2 more sources
RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
Russian Academy of Sciences. Sbornik Mathematics, 1994Let \(E\) be an arbitrary compact set in the extended complex plane \(\overline \mathbb{C}\), \(f\) analytic on \(E\), and for any nonnegative integer \(n\) let \(\rho_ n\) denote the uniformly best error of the rational approximation of \(f\) on \(E\), i.e.
openaire +2 more sources
Rational approximation to harmonic functions
Numerical Algorithms, 1999This is a very nice paper! The author generalizes the concepts of Padé-type and partial Padé-type approximants to the situation of approximating the Fourier series of a harmonic function. The main feature of this type of approximation is the liberty in prescribing poles for the approximating functions.
openaire +2 more sources
Approximation by rational functions
Applicable Analysis, 2008The inverse problem of finding point sources from finite measurements of two-dimensional stationary field leads to the problem of interpolation by rational functions. However, unlike the polynomial interpolation, the system of equations for the polynomial coefficients appearing here is rather difficult to analyse and to solve numerically.
openaire +1 more source
On rational approximations of functions
Journal of Mathematical Sciences, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
ON THE ORDER OF APPROXIMATION OF CONVEX FUNCTIONS BY RATIONAL FUNCTIONS
Mathematics of the USSR-Izvestiya, 1969We show that for arbitrary convex functions the order of approximation (in the metric C[a, b]) by rational functions of degree no higher than n does not exceed the quantity CMln²n/n (C an absolute constant, M the maximum modulus of the convex function).
openaire +1 more source
ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS
Russian Academy of Sciences. Sbornik Mathematics, 1995The main result of this paper is a generalization of the Karlsson inequality relating the best rational approximation of degree \(n\) and the, so-called, order of the approximated meromorphic function. The new inequality depends of the product of all degrees \(1,2,\dots, n\).
openaire +1 more source
THE DEGREE OF RATIONAL APPROXIMATION OF FUNCTIONS AND THEIR DIFFERENTIABILITY
Mathematics of the USSR-Izvestiya, 1981Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 44, 1410-1416 (Russian) (1980; Zbl 0479.41013).
openaire +2 more sources
ON THE APPROXIMATION OF $ x^\alpha$ BY RATIONAL FUNCTIONS
Mathematics of the USSR-Izvestiya, 1981Weak equivalence type estimates are obtained for the smallest deviation of ( a proper fraction) from the rational functions of degree not greater than in the metrics of . Bibliography: 15 titles.
openaire +2 more sources