Results 11 to 20 of about 57 (57)
Adaptive Integration of Convex Functions of One Real Variable
Annales Mathematicae SilesianaeWe present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
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Unique compact representation of magnetic fields using truncated solid harmonic expansions
European Journal of Applied MathematicsPrecise knowledge of magnetic fields is crucial in many medical imaging applications such as magnetic resonance imaging (MRI) or magnetic particle imaging (MPI), as they form the foundation of these imaging systems. Mathematical methods are essential for
Marija Boberg +2 more
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Rates of Convergence of Multipoint Rational Approximants and Quadrature Formulas on the Unit Circle
, 1997 In this paper, multipoint rational approximants to the Riesz-Herglotz transform of a Borel measure ¯, supported on [\Gammaß; ß] are considered. We give estimates for the rate of convergence of these approximants.
Hendriksen, E. +11 more
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Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 65D30, 32A35, Secondary 41A55.In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric.
Kounchev, Ognyan, Render, Hermann
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Gaussian quadrature formulae on the unit circle
, 2002 25 pages, no figures.-- MSC2000 codes: 41A55; 33C45.MR#: MR1933236 (2003k:65022)Zbl#: Zbl 1013.41015Let μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estimation of integrals of the form $$ I_{\mu }(f):=\frac{1}{2\pi }\
Marcellán, Francisco +3 more
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Generalizations of a weighted trapezoidal inequality for monotonic functions and applications
, 2020 In this paper we establish some generalizations of a weighted trapezoidal inequality for monotonic functions and give several applications for the r -moments, the expectation of a continuous random variable and the Beta and Gamma functions.
Kuei-Lin Tseng +2 more
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Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type [PDF]
, 2012 MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the ...
Milovanovic, Gradimir V. +1 more
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, 1998 : Let R be the space of rational functions with poles among fff k ; 1=ff k g 1 k=0 with ff 0 = 0 and jff k j ! 1, k 1. We consider a sequence fR n g 1 n=0 of nested subspaces with [ 1 n=0 R n = R.
Hendriksen, E. +11 more
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Quadrature on the half line and two-point Padé approximants to Stieltjes functions. II Convergence
, 1997 Let be a distribution function on [a; b] (0 a < b +1) such that the moment c k = R b a x k d(x) exist for all the integers k. The main course of the paper is to give convergence results both for sequences of Two-point Pade approximants to the ...
Bultheel, Adhemar +11 more
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, 1997 Let be a general, absolutely continuous measure, possibly complex, supported on [0; 1). Let F (z) denote its Cauchy transform. In this paper we prove, under suitable conditions, the convergence of two-point Pade type approximants to F and of the ...
Bultheel, Adhemar +11 more
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