150 research outputs found
Another Converse of Jensen's Inequality
No full textWe give the best possible global bounds for a form of discrete
Jensen’s inequality. By some examples its fruitfulness is shown
On a Converse of Jensen's Discrete Inequality
No full textWe give the best possible global bounds for a form of discrete Jensen's inequality. By some examples the fruitfulness of this result is shown
Turan's inequality for appell polynomials
No full text We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal polynomials.</p
On Logarithmic Convexity for Differences of Power Means
No full text We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained. Some applications in probability and information theory are also given.</p
Jensen’s inequality and new entropy bounds
No full textAbstractWe establish new lower and upper bounds for Jensen’s discrete inequality. Applying those results in information theory, we obtain new and more precise bounds for Shannon’s entropy
Three Meetings of Architects Slavko Löwy and Drago Ibler
No full textZaključivši popis djela arhitekta Slavka Löwyja (Koprivnica 1904.-Zagreb 1996.) jednog od sustvaratelja hrvatske moderne arhitekture 30/ih godina, nametnula se tema njegovih "bliskih susreta" s najistaknutijim akterom razdobjla - arhitektom Dragom lblerom (1894.-1962.). Iblerov opus već je temeljito interpretiran, dok valorizacija Löwijeva djela tek predstoji. Obojica su, u razmaku od deset godina, diplomu stekli kod Martina Dülfera na Visokoj tehničkoj školi u Dresdenu. Autorica analizira tri profesionalna susreta Drage Iblera i Slavka Luowyja, kao konkurenata na zagrebačkim lokacijama za koje su između 1933. i 1936. godine, raspisivani natječaji za ugrađene stambene ili stambeno-poslovne zgrade, koje su uglavnom bile realizirane prema Luowyjevu projektu. Analiziraju se specifičnosti rješenja obaju autora, kao i njihova moguća zajednička polazišta.After completing the list of works by the architect Slavko Lowy (Koprivnica 1904 - Zagreb 1996), who was one of the creators of modem Croatian architecture of the 1930s, the author addressed the subject of his meetings with the most prominent architect of that period, Drago Ibler (1894.1962). Both of them graduated with Martin Dulfer at the High Technical School in Dresden in a period of ten years, but while Ibler's opus has been interpreted in detail, the evaluation of Lowy's work is still to come. The author analyses three professional meetings of Drago Ibler and Slavko Lowy as competitors at competitions for inserted residential or residential-business buildings on Zagreb locations between 1933 and 1936. Most of the buildings were built according to Lowy's design. Although Ibler approached the theme of the skyscraper in many of his projects, it was the younger Lowy who built Zagreb's first high-rise. He won first prize at the narrower competition for the Radovan corner building between Masarykova and Gundulićeva Streets in 1933. Ibler built his first high-rise after the Second World War. In 1935 comfortable houses in close contact with nature had to be designed on the steep ground between Ribnjak park and Novakova Street. Ibler suggested two buildings on the edges of the lot with a green garden between them, but Lowy's design of one very deep building (in fact two with a common stairway) with green terraces climbing up the hill was accepted (20 Ribnjak). Almost at the same time Ibler built his anthological Markulin residential building on No. 16 of the same street. When the area of the former Zagreb Fair in Martićeva Street began to be built up in 1936, lbler designed the corner building at 14c Martićeva for the Wienerbankvereing, and Lowy built the adjacent house in 4 Bulićeva Street for the same investor, although Ibler was originally to have built both buildings. The author analyzes the specific solutions offered by both acrhitects, and their possible common starting points
THE DRAMA OF GENERAL SLAVKO KVATERNIK'S LIFE
No full textAutorica prati političko djelovanje Slavka Kvaternika, ministra hrvatskog domobranstva. Članak izlaže Kvaternikova polazišta tridesetih, kada on pripada krugu domovinskih nacionalista, i njegovu ulogu u Nezavisnoj Državi Hrvatskoj 1941.-1945. Autorica ukazuje na Kvatemikovu javnu djelatnost, u kojoj prevladava njegov antagonistički odnos prema krajnjoj nacionalnoj desnici oko Poglavnika A. Pavelića.The author surveys the public activities of Slavko Kvaternik, one of the leading Croatian nationalists of the 1930s, and for a time, minister of the Croatian Home Army during the Second World War (1941-1942). The article argues that Kvaternik occupied a peculiar position with respect to the radicals grouped around Ante Pavelić, the leader of the Ustasha regime. Kvaternik was not a ideologue of the Independent State of Croatia (NDH), nor did he agree with Pavelić's repressive internal policy or Pavelić's dependence on fascist Italy. Because of this conflict, Kvaternik was pushed out of office and left Croatia at the end of 1942. None of these facts prevented the Yugoslavian government from proclaiming him a »war criminal« and carrying out the death sentence in 1947
An Extension of Stolarsky Means to the Multivariable Case
No full textWe give an extension of well-known Stolarsky means to the multivariable case in a simple and
applicable way. Some basic inequalities concerning this matter are also established with applications in Analysis and Probability Theory
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