Bonds for a functional on a class of functions with positive real parts |
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Authors: | L A Yaremenko |
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Institution: | (1) Kuban University, USSR |
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Abstract: | We establish sharp upper and lower bounds for the functionalJ (p)- Re{p (z)-zp'(z)/p(z), 1. where ¦z¦=r is fixed, 0 <r <1, p(z).Pn (A, B), –1 B < a 1, a certain class of regular functions in the disk with values in the right halfplane.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 5, pp. 686–689, May, 1990. |
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