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An answer to a conjecture on an integral sequence

An answer to a conjecture on an integral sequence Abstract We answer a conjecture and an open problem concerning integral sequences of the form ∫ 0 1 f ⁢ ( x ) ⁢ f ⁢ ( x 2 ) ⁢ ⋯ ⁢ f ⁢ ( x n ) ⁢ d x n , n ≥ 2 . \sqrt(n){\int_{0}^{1}f(x)f(x^{2})\cdots f(x^{n})\,\mathrm{d}x},\quad n\geq 2. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

An answer to a conjecture on an integral sequence

Gavrea, Ioan; Ivan, Mircea
Georgian Mathematical Journal , Volume 24 (2) – Jun 1, 2017
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Publisher
de Gruyter
Copyright
Copyright © 2017 by the
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1515/gmj-2017-0010
Publisher site
See Article on Publisher Site

Abstract

Abstract We answer a conjecture and an open problem concerning integral sequences of the form ∫ 0 1 f ⁢ ( x ) ⁢ f ⁢ ( x 2 ) ⁢ ⋯ ⁢ f ⁢ ( x n ) ⁢ d x n , n ≥ 2 . \sqrt(n){\int_{0}^{1}f(x)f(x^{2})\cdots f(x^{n})\,\mathrm{d}x},\quad n\geq 2.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2017

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