In this paper, the order of simultaneous approximation and Voronovskaja type theorems with quantitative estimate for complex genuine q-Bernstein-Durrmeyer polynomials (0 < q < 1) attached to analytic functions on compact disks are obtained. Our results show that extension of the complex genuine q-Bernstein-Durrmeyer polyno-mials from real intervals to… (More)
I certify that this thesis satisfies the requirements as a thesis for the degree of Doctor of Philosophy in Mathematics. We certify that we have read this thesis and that in our opinion it is fully adequate in scope and quality as a thesis for the degree of Doctor of Philosophy in Mathematics. ABSTRACT In Chapter 2 of this thesis, in the first part, we deal… (More)
The contraction mapping principle is used to derive sufficient conditions for approximate and complete controllability of semilinear stochastic system under the assumption that the corresponding linear system is appropriately controllable.