Abstract
We describe extremal functions and rearrangements of the problem
where a 1 < 0 < a 2, and the kernel ψ has a finite number or a countable mono-tonely ordered set of points of sign changes on [a 1, a 2], - ∞ ≤ a 1 < a 2 ≤ +∞. In particular, we give the solution of the problem (**) in the case of the entire line [a 1, a 2] = ℝ.
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© 1998 Springer Basel AG
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Bagdasarov, S.K. (1998). Maximization of Integral Functionals in H ω[a 1, a 2], - ∞ ≤ a 1 < a 2 ≤ +∞. In: Chebyshev Splines and Kolmogorov Inequalities. Operator Theory Advances and Applications, vol 105. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8808-0_10
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DOI: https://doi.org/10.1007/978-3-0348-8808-0_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9781-5
Online ISBN: 978-3-0348-8808-0
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