Some Hardy type integral inequalities.
Sarikaya, Mehmet Zeki, Yildirim, Hussein (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Sarikaya, Mehmet Zeki, Yildirim, Hussein (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Persson, Lars-Erik, Stepanov, Vladimir D. (2002)
Journal of Inequalities and Applications [electronic only]
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Nasyrova, Masha, Stepanov, Vladimir (1997)
Journal of Inequalities and Applications [electronic only]
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Bougoffa, Lazhar (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Liu, Xingdong, Yang, Bicheng (2010)
Journal of Inequalities and Applications [electronic only]
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B. Florkiewicz (1980)
Colloquium Mathematicae
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Evans, W.D., Everitt, W.N., Hayman, W.K., Jones, D.S. (1998)
Journal of Inequalities and Applications [electronic only]
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Lou, Zengjian (1994)
International Journal of Mathematics and Mathematical Sciences
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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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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.
Shen, Yaotian, Chen, Zhihui (2009)
Journal of Inequalities and Applications [electronic only]
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Burenkov, V.I., Evans, W.D., Goldman, M.L. (1997)
Journal of Inequalities and Applications [electronic only]
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Azar, Laith Emil (2004)
International Journal of Mathematics and Mathematical Sciences
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