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2015, vol. 19, br. 2, str. 125-140
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Further inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality
(naslov ne postoji na srpskom)
Mathematics, College of Engineering & Science, Victoria University, Melbourne City, Australia + School of Computational & Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa
e-adresa: sever.dragomir@vu.edu.au
Sažetak
(ne postoji na srpskom)
Some inequalities for power series with nonnegative coefficients via a new reverse of Jensen inequality are given. Applications for some fundamental functions defined by power series are also provided.
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Reference
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Cerone, P., Dragomir, S.S. (2007) A refinement of the Grüss inequality and applications. Tamkang J. Math, 38, No. 1, pp. 37-49, Preprint RGMIA Res. Rep. Coll., 5 (2) (2002), Art. 14 [http://rgmia.org/papers/v5n2/RGIApp.pdf]
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Cerone, P., Dragomir, S.S. (2007) Some applications of de Bruijn's inequality for power series. Integral Transforms and Special Functions, 18(6): 387-396
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Dragomir, S.S. (2013) Some reverses of the jensen inequality with applications. Bulletin of the Australian Mathematical Society, 87(02): 177-194
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Dragomir, S.S. (2014) Inequalities for power series with nonnegative coefficients via a reverse of Jensen inequality. RGMIA Res. Rep. Coll, 17, Art. 47, http://rgmia.org/papers/v17/v17a47.pdf
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Dragomir, S.S., Ionescu, N.M. (1994) Some converse of Jensen's inequality and applications. Rev. Anal. Numér. Théor. Approx, 23, no. 1, pp. 71-78, MR1325895 (96c:26012)
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