Caratheodory's Inequality on the Right half plane | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 20، دوره 11، شماره 1، تیر 2020، صفحه 247-258 اصل مقاله (129.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4274 | ||
| نویسنده | ||
| Bulent Nafi Ornek* | ||
| Department of Computer Engineering, Amasya University, Merkez-Amasya 05100, Turkey | ||
| چکیده | ||
| In this paper, a boundary version of Caratheodory's inequality on the right half plane is investigated. $Z(s)$ is an analytic function defined in the right half of the $s$-plane.We derive inequalities for the modulus of $Z(s)$ function, $|Z′(0)|$, by assuming the $Z(s)$ function is also analytic at the boundary point $s = 0$ on the imaginary axis and finally, the sharpness of these inequalities are proved. | ||
| کلیدواژهها | ||
| Analytic function؛ Schwarz lemma؛ Caratheodory's inequality | ||
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