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- W2748929833 abstract "Extended Euler identities generalize the well known formula for the expansion of an function in Bernoulli polynomials. Quadrature formulas are obtained using affine combinations of the extended Euler identities for symmetric nodes. The main step in obtaining the best possible error estimates is to prove that in this manner obtained kernel has some nice zeroes. Generally, the problem of distribution of nodes such that this kernel has controlled zeroes it seems to be difficult. Based on Multiplication Theorem the frequency variants of the extended Euler identities are given. Analogously obtained kernel appears to be more tractable for the investigation of zeroes. The case of m-adic frequencies and the case of frequencies with no gaps are completely solved. The general case is considered using some interesting convexity arguments." @default.
- W2748929833 created "2017-08-31" @default.
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- W2748929833 date "2007-01-01" @default.
- W2748929833 modified "2023-09-26" @default.
- W2748929833 title "Frequency variant of Euler type identities and the problem of sign constancy of the kernel in associated quadrature formulas" @default.
- W2748929833 hasPublicationYear "2007" @default.
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