Further generalizations of the Nehari inequalities

DeTemple, Duane W.

doi:10.1090/S0002-9947-1975-0364622-9

Further generalizations of the Nehari inequalities
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by Duane W. DeTemple

Trans. Amer. Math. Soc. 205 (1975), 333-340

DOI: https://doi.org/10.1090/S0002-9947-1975-0364622-9

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Abstract:

Inequalities of the Nehari type are obtained for bounded univalent functions on the unit disc, including a form which depends upon the parameters $a$ and $d$, where $d = f(a)$.

References

Duane W. DeTemple, On coefficient inequalities for bounded univalent functions, Ann. Acad. Sci. Fenn. Ser. A I 469 (1970), 20. MR 0279297
D. W. DeTemple, Grunsky-Nehari inequalities for a subclass of bounded univalent functions, Trans. Amer. Math. Soc. 159 (1971), 317–328. MR 279299, DOI 10.1090/S0002-9947-1971-0279299-7
Duane W. De Temple, Generalizations of the Grunsky-Nehari inequalities, Arch. Rational Mech. Anal. 44 (1971/72), 93–120. MR 335776, DOI 10.1007/BF00281812
J. A. Hummel, Inequalities of Grunsky type for Aharonov pairs, J. Analyse Math. 25 (1972), 217–257. MR 311893, DOI 10.1007/BF02790039
N. A. Lebedev, Certain corollaries of an inequality of Grunsky, Vestnik Leningrad. Univ. 7 (1972), 45–55 (Russian, with English summary). MR 0299772
Zeev Nehari, Some inequalities in the theory of functions, Trans. Amer. Math. Soc. 75 (1953), 256–286. MR 56704, DOI 10.1090/S0002-9947-1953-0056704-1
Zeev Nehari, Inequalities for the coefficients of univalent functions, Arch. Rational Mech. Anal. 34 (1969), 301–330. MR 247061, DOI 10.1007/BF00248571
Menahem Schiffer and Olli Tammi, On the coefficient problem for bounded univalent functions, Trans. Amer. Math. Soc. 140 (1969), 461–474. MR 245782, DOI 10.1090/S0002-9947-1969-0245782-4