Some integral inequalities of Hardy type
B. Florkiewicz (1980)
Colloquium Mathematicae
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B. Florkiewicz (1980)
Colloquium Mathematicae
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Iwona Skrzypczak (2014)
Banach Center Publications
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We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.
Alois Kufner (1993)
Collectanea Mathematica
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Azar, Laith Emil (2004)
International Journal of Mathematics and Mathematical Sciences
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Lian, Bao-Sheng, Yang, Qiao-Hua, Yang, Fen (2011)
Journal of Inequalities and Applications [electronic only]
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Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Pečarić, Josip, Vuković, Predrag (2010)
Journal of Inequalities and Applications [electronic only]
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Maria Nasyrova, Vladimir D. Stepanov (1999)
Mathematica Bohemica
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A characterization of the weighted Hardy inequality Fu 2 C F“v 2, F(0)=F’(0)=F(1)=F’(1)=0 is given.
Mashiyev, Rabil A., Çekiç, Bilal, Ogras, Sezai (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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