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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20241015T140000
DTEND;TZID=Europe/Sofia:20241015T153000
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CREATED:20241003T141157Z
LAST-MODIFIED:20241003T141242Z
UID:16844-1729000800-1729006200@math.bas.bg
SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология"
DESCRIPTION:Поредното заседание на Общия семинар на секция “Анализ\, геометрия и топология” ще се проведе\nна 15 октомври 2024 г. от 14:00 часа в зала 478 на ИМИ – БАН.\nДоклад на тема: \nUnimodality Preservation by Ratios of Functional Series and Integral Transforms\nще изнесе Dmitrii Karp\, Holon Institute of Technology\, Holon\, Israel. \nПоканват се всички интересуващи се. \nРезюме. Elementary\, but very useful lemma due to Biernacki and Krzyz (1955) asserts that the ratio of two power series inherits monotonicity from that of the sequence of ratios of their corresponding coefficients. Over the last two decades it has been realized that\, under some additional assumptions\, similar claims hold for more general series ratios and integral transforms as well as for unimodality in place of monotonicity. In the talk\, we discuss conditions on the functional sequence and the kernel of an integral transform ensuring such property. Numerous series and integral transforms appearing in applications satisfy our sufficient conditions\, including Dirichlet\, factorial and inverse factorial series\, Laplace\, Mellin and generalized Stieltjes transforms\, among many others. The key role in our considerations is played by the notion of sign regularity. \n\n 
URL:https://math.bas.bg/event/copy-%d0%be%d0%b1%d1%89-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%2C%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%20%D0%B8%20%D1%82%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F":MAILTO:vmil@math.bas.bg
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