Sandwich results for higher order fractional derivative operators
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 1
Abstract
In this paper we obtain some differential subordinations and superordinations related to a generalized fractional derivative operator for higher order derivatives of multivalent functions. Moreover, we derive some sandwich results under certain assumptions on the parameters involved, and these new results generalize some previously well-known theorems.
Authors and Affiliations
M. Hanaa, T. Bulboaca
Convergence analysis of the Gauss-Newton- Potra method for nonlinear least squares problems
In this paper we study an iterative differential-difference method for solving nonlinear least squares problems with nondifferentiable residual function. We have proved theorems which establish the conditions of converge...
Weak solutions to the complex Monge-Ampere equation on open subsets of Cn
In the paper, we prove the existence of weak solutions to the complex Monge-Ampere equation in the class D(Ω) on an open subset Ω of Cn.
On the theme of Le page
Some Le Page's commutativity criteria (in complex Banach algebras) are considered. We try to reconstruct a brief history of their evolution. Our recent results, in the real case, are also presented. These propositions ar...
On the l-index boundedness of some composition of functions
It is suggested that for an entire function f the function F(z)=f(q(1−z)n), n∈N, is of bounded l-index with l(|z|)=β(1−|z|)n+1, β>1, if and only if f is of bounded index.
The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations
We study versal deformatiions of the Pfeiffer-Lax-Sato type vector field equations, related with a centrally extended metrized Lie algebra as the direct sum of vector fields and differential forms on torus.