Some Müntz orthogonal systems

DOI10.1016/S0377-0427(98)00164-2zbMath0933.42018OpenAlexW2461038452MaRDI QIDQ1298572

Snežana Lj. Rančić, Gradimir V. Milovanović, Bratislav Danković

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00164-2

zbMATH Keywords

orthogonal polynomialsMüntz polynomialsMalmquist rational functionsMüntz orthogonal system

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (8)

Modelling of dynamical systems based on almost orthogonal polynomials ⋮ Generalized cascade orthogonal filters based on symmetric bilinear transformation with application to modeling of dynamic systems ⋮ Approximation based on orthogonal and almost orthogonal functions ⋮ A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials ⋮ Remarks on ``Orthogonality of some sequences of the rational functions and Müntz polynomials ⋮ Numerical solution of Volterra-Fredholm integral equations using the collocation method based on a special form of the Müntz-Legendre polynomials ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ A new operational matrix based on Müntz-Legendre polynomials for solving distributed order fractional differential equations

Cites Work

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• A Favard theorem for orthogonal rational functions on the unit circle
• The computation of orthogonal rational functions and their interpolating properties
• Generalized Legendre polynomials
• Moment problems and orthogonal functions
• Strong and weak convergence of orthogonal systems of rational functions on the unit circle
• Extensions of Szegö's theory of rational functions orthogonal on the unit circle
• Convergence of orthogonal rational functions outside of the unit circle
• Muntz Systems and Orthogonal Muntz-Legendre Polynomials
• Approximation to a Function by a Polynomial in Another Function
• On the convergence of rational functions orthogonal on the unit circle

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