Extensions and sharpenings of Jordan's and Kober's inequalities.
Zhang, Xiaohui, Wang, Gendi, Chu, Yuming (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhang, Xiaohui, Wang, Gendi, Chu, Yuming (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Koumandos, Stamatis (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Szal, Bogdan (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Grosjean, Carl C. (1996)
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Jiang, Wei Dong, Yun, Hua (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Grainger, Arthur D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Changjian, Zhao, Cheung, Wing-Sum (2008)
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Bagno, Eli, Butman, Ayelet, Garber, David (2007)
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Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)
Applications of Mathematics
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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Wancang Ma, David Minda (1993)
Annales Polonici Mathematici
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Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses . The series expansion for converges when , where depends on f. The sharp bounds on and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on and all extremal functions for...