Jacobi-weighted orthogonal polynomials on triangular domains.

Rababah, A.; Alqudah, M.

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Displaying similar documents to “Jacobi-weighted orthogonal polynomials on triangular domains.”

Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials

Marčoková, Mariana, Guldan, Vladimír

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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.

Nonnegative linearization for orthogonal polynomials with eventually constant Jacobi parameters

Wojciech Młotkowski (2010)

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We study the nonnegative product linearization property for polynomials with eventually constant Jacobi parameters. For some special cases a necessary and sufficient condition for this property is provided.

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Bruno Gabutti (1984)

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On block recursions, Askey's sieved Jacobi polynomials and two related systems

Bernarda Aldana, Jairo Charris, Oriol Mora-Valbuena (1998)

Colloquium Mathematicae

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Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.

Characterizations of classical polynomials

McCarthy, Paul J. (1961)

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An Improved Constant for the Muntz-Jackson Theorem

H. N. Odogwu (1989)

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D. Mangeron, A. M. Krall, D. L. Fernández (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros.

Milovanović, Gradimir V. (1998)

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A new generating function of ( $q$ -) Bernstein-type polynomials and their interpolation function.

Simsek, Yilmaz, Açıkgöz, Mehmet (2010)

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On the Degre of L1-aproximation by Modified Bernstein Polynomials

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Estimates for polynomials in the unit disk with varying constant terms

Stephan Ruscheweyh, Magdalena Wołoszkiewicz (2011)

Annales UMCS, Mathematica

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Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials. ...