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Maximum of the modulus of kernels in Gauss-Turan quadratures
dc.creator | Milovanović, Gradimir | |
dc.creator | Spalević, Miodrag | |
dc.creator | Pranić, Miroslav | |
dc.date.accessioned | 2023-03-04T07:44:43Z | |
dc.date.available | 2023-03-04T07:44:43Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 0025-5718 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/5087 | |
dc.description.abstract | We study the kernels in the remainder terms of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at , when the weight is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel attains its maximum on the real axis (positive real semi-axis) for each . It was stated as a conjecture in [Math. Comp. 72 (2003), 1855–1872]. For the generalized Chebyshev weight of the second kind, in the case when the number of the nodes in the corresponding Gauss-Turán quadrature formula is even, it is shown that the modulus of the kernel attains its maximum on the imaginary axis for each . Numerical examples are included. | sr |
dc.language.iso | en | sr |
dc.publisher | American Mathematical Society | sr |
dc.relation | Serbian Ministry of Science and Environmental Protection (Project #144005A: “Approximation of linear operators”) | sr |
dc.rights | restrictedAccess | sr |
dc.source | Mathematics of Computation | sr |
dc.subject | Gauss-Turan quadrature | sr |
dc.subject | Chebyshev weight functions | sr |
dc.subject | remainder term for analytic functions | sr |
dc.subject | error estimate | sr |
dc.subject | contour integral representation | sr |
dc.subject | confocal ellipses | sr |
dc.subject | kernel | sr |
dc.title | Maximum of the modulus of kernels in Gauss-Turan quadratures | sr |
dc.type | article | sr |
dc.rights.license | ARR | sr |
dc.citation.epage | 994 | |
dc.citation.issue | 262 | |
dc.citation.rank | M21 | |
dc.citation.spage | 985 | |
dc.citation.volume | 77 | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_5087 | |
dc.type.version | publishedVersion | sr |