Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight
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Publication:2343932
DOI10.1134/S0001434614110273zbMath1314.41007OpenAlexW2463520882MaRDI QIDQ2343932
R. A. Veprintsev, Valeriĭ I. Ivanov, Dmitry Gorbachev
Publication date: 11 May 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434614110273
modulus of continuityentire function of exponential typebest approximationJackson's inequalityGaussian quadrature formulahyperbolic weight\(L_2\)-space
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Cites Work
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- Jackson's theorem in the space \(L_{2}(\mathbb R^{d})\) with power weight
- Multidimensional Jackson theorem in \(L_ 2\).
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- Jacobi functions: the addition formula and the positivity of the dual convolution structure
- Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres
- Two related extremal problems for entire functions of several variables
- Harmonic analysis for certain representations of graded Hecke algebras
- Jackson inequalities on sphere in \(L_ 2\)
- Optimal arguments in Jackson's inequality in the power-weighted space \(L_2(\mathbb R^d)\)
- The convolution structure for Jacobi function expansions
- Asymptotics of the hypergeometric function
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- An exact Jackson-Stechkin inequality for $ L^2$-approximation on the interval with the Jacobi weight and on projective spaces
- Extremum problems for entire functions of exponential spherical type
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