On the sharp constant for starlikeness

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On the Sharp Constant for Starlikeness

We obtain a sharp constant of the sufficient condition for p-valently starlikeness, which had been studied by Nunokawa (1991), Obradovíc and Owa (1989), and Li (1993). 2000 Mathematics Subject Classification. Primary 30C45.

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15 صفحه اول

Double Logarithmic Inequality with a Sharp Constant

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is “almost” sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

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Double Logarithmic Inequality with a Sharp Constant

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is “almost” sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2001

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171201004665