In this paper, a boundary version of Caratheodory's inequality on the right half plane is investigated. Z(s) is an analytic function de ned in the right half of the s-plane.We derive inequalities for the modulus of Z(s) function, jZ′(0)j, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis and nally, the sharpness of these inequalities is proved.
Nafi ORNEK ¨, B. (2020). Caratheodory's Inequality on the Right half plane. International Journal of Nonlinear Analysis and Applications, 11(1), 247-258. doi: 10.22075/ijnaa.2020.4274
MLA
B¨ulent Nafi ORNEK ¨. "Caratheodory's Inequality on the Right half plane". International Journal of Nonlinear Analysis and Applications, 11, 1, 2020, 247-258. doi: 10.22075/ijnaa.2020.4274
HARVARD
Nafi ORNEK ¨, B. (2020). 'Caratheodory's Inequality on the Right half plane', International Journal of Nonlinear Analysis and Applications, 11(1), pp. 247-258. doi: 10.22075/ijnaa.2020.4274
VANCOUVER
Nafi ORNEK ¨, B. Caratheodory's Inequality on the Right half plane. International Journal of Nonlinear Analysis and Applications, 2020; 11(1): 247-258. doi: 10.22075/ijnaa.2020.4274
)