Lower and upper bounds for the second and third order Hermitian Toeplitz determinants for starlike and convex functions related to lemniscate of Bernoulli.

In the present article, the authors consider and obtain lower and upper bounds for the second and third order Hermitian Toeplitz determinants for certain class of starlike and convex functions related to lemniscate of Bernoulli. The authors have also shown that the results are sharp. [ABSTRACT FROM AUTHOR]