Turán's and Fejér's extremal problems for Jacobi transform

DOI10.1007/S10476-018-0304-ZzbMath1424.42001OpenAlexW2808751044MaRDI QIDQ1715038

Dmitry Gorbachev, Valeriĭ I. Ivanov

Publication date: 1 February 2019

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-018-0304-z

zbMATH Keywords

Jacobi functionentire function of exponential typeJacobi transformhyperbolic weightTurán extremal problemFejér extremal problemMarkov quadrature formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Trigonometric polynomials, inequalities, extremal problems (42A05)

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On the existence of an extremal function in the Delsarte extremal problem ⋮ Some extremal problems for the Fourier transform on the hyperboloid

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