Results 41 to 50 of about 297 (88)
Generating new classes of orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 643-656, 1996., 1994 Given a sequence of monic orthogonal polynomials (MOPS), {Pn}, with respect to a quasi‐definite linear functional u, we find necessary and sufficient conditions on the parameters an and bn for the sequence to be orthogonal. In particular, we can find explicitly the linear functional v such that the new sequence is the corresponding family of orthogonal
Amílcar Branquinho +1 more
wiley +1 more source
On perfect Nikishin systems [PDF]
, 2002 12 pages, no figures.-- MSC1991 code: Primary 42C05.-- Publisher's full-text version available Open Access at: http://www.heldermann-verlag.de/cmf/cmf02/cmf0224.pdfMR#: MR2038130 (2005c:42026)Zbl#: Zbl 1065.42020We prove perfectness for Nikishin systems ...
López Lagomasino, Guillermo +1 more
core +2 more sources
Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering
Nonlinear EngineeringThis study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan +3 more
doaj +1 more source
Direct and Inverse Spectral Problems for (2N + 1)-Diagonal, Complex, Symmetric, Non-Hermitian Matrices [PDF]
, 2004 2000 Mathematics Subject Classification: 42C05.We give an easy procedure for solving of the direct and the inverse spectral problems for the equation. Guseynov used a procedure of the Gelfand-Levitan type for the case N = 1.
Zagorodnyuk, S.
core
Some results on biorthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 625-636, 1994., 1993 Some biorthogonal polynomials of Hahn and Pastro are derived using a polynomial modification of the Lebesgue measure dθ combined with analytic continuation. A result is given for changing the measures of biorthogonal polynomials on the unit circle by the multiplication of their measures by certain Laurent polynomials.
Richard W. Ruedemann
wiley +1 more source
Szegö transformations and rational spectral transformations for associated polynomials [PDF]
, 2009 9 pages, no figures.-- MSC2000 codes: 42C05, 15A23.In this contribution we analyze rational spectral transformations related to associated polynomials with respect to probability measures supported on the interval [−1, 1].
Marcellán, Francisco +2 more
core +1 more source
Finite‐infinite range inequalities in the complex plane
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 625-638, 1991., 1991 Let E⫅C be closed, ω be a suitable weight function on E, σ be a positive Borel measure on E. We discuss the conditions on ω and σ which ensure the existence of a fixed compact subset K of E with the following property. For any p, 0 < P ≤ ∞, there exist positive constants c1, c2 depending only on E, ω, σ and p such that for every integer n ≥ 1 and every
H. N. Mhaskar
wiley +1 more source
Problemas abiertos en series de Fourier de Jacobi-Sobolev [PDF]
, 2001 7 pages, no figures.-- MSC2000 code: 42C05.In this paper we deal with several problems concerning estimates of polynomials orthogonal with respect to Sobolev inner products. These problems have been motivated by some previous work by J. J.
Álvarez Rocha, Ignacio +2 more
core +2 more sources
A pair of biorthogonal polynomials for the Szegö‐Hermite weight function
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 4, Page 763-767, 1988., 1987 A pair of polynomial sequences and where is of degree n in xk and is of degree m in x, is constructed. It is shown that this pair is biorthogonal with respect to the Szegö‐Hermite weight function |x|2μexp(−x2), (μ > −1/2) over the interval (−∞, ∞) in the sense that where m, n = 0, 1, 2, … and k is an odd positive integer.
N. K. Thakare, M. C. Madhekar
wiley +1 more source
An inverse problem related to 2-orthogonal polynomials
Open MathematicsThis paper is interested in the analysis of the 2-orthogonality of a monic polynomial sequence {Qn}n≥0 ${\left\{{Q}_{n}\right\}}_{n\ge 0}$ constructed as a linear combination of a sequence of monic 2-orthogonal polynomials {Pn}n≥0 ${\left\{{P}_{n}\right\
Oztepe Gizem S., Varma Serhan
doaj +1 more source