On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
S. Pichorides (1972)
Studia Mathematica
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S. Pichorides (1972)
Studia Mathematica
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Chen, Hongwei (2002)
International Journal of Mathematics and Mathematical Sciences
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Amghibech, S. (2007)
Journal of Integer Sequences [electronic only]
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B. C. Singhai (1962)
Bollettino dell'Unione Matematica Italiana
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Qureshi, M.I., Chaudhary, M.P. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Gregorac, R.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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S. L. Gupta (1964)
Collectanea Mathematica
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Baica, Malvina (1986)
International Journal of Mathematics and Mathematical Sciences
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Love, E.R. (1998)
Journal of Inequalities and Applications [electronic only]
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Javier Chavarriga (1994)
Applicationes Mathematicae
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We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.
Lu, Youmin, Shao, Zhoude (2004)
International Journal of Mathematics and Mathematical Sciences
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