Refinements of the Heinz inequalitiesSpringer Science and Business Media LLC - Tập 2012 - Trang 1-6 - 2012
Yuming Feng
This article aims to discuss Heinz inequalities involving unitarily invariant norms. We obtain refinements of the Heinz inequalities. In particular, our results refine some results given in Kittaneh.
Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomialSpringer Science and Business Media LLC - Tập 2020 - Trang 1-12 - 2020
Gradimir V. Milovanović, Abdullah Mir
Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials, inspired by the classical Bernstein-type inequalities that relate the uniform norms of polynomials and their derivatives on the unit circle, are investigated. The obtained results sharpen as well as generalize some already known $L^{\delta }$-estimates between polynomials and their polar derivatives.
Existence conditions for symmetric generalized quasi-variational inclusion problemsSpringer Science and Business Media LLC - Tập 2013 - Trang 1-12 - 2013
Nguyen Van Hung
In this paper, we establish an existence theorem by using the Kakutani-Fan-Glicksberg fixed-point theorem for a symmetric generalized quasi-variational inclusion problem in real locally convex Hausdorff topological vector spaces. Moreover, the closedness of the solution set for this problem is obtained. As special cases, we also derive the existence results for symmetric weak and strong quasi-equi...... hiện toàn bộ