Popoviciu type inequalities via Green function and Taylor polynomial

On Bernstein Type Inequalities for Complex Polynomial

In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.

Several Variants of via Titu Andreescu Type and Popoviciu Type Inequalities

New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity

The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green's functions. New generalizations of an improved Popoviciu inequality are obtained by using generalized Montgomery identity along with new Green's functions. As an application, we formulate the monotonicity of linear functionals construc...

More accurate Jensen-type inequalities for signed measures characterized via Green function and applications

In this paper we derive several improved forms of the Jensen inequality, giving the necessary and sufficient conditions for them to hold in the case of the real Stieltjes measure not necessarily positive. The obtained relations are characterized via the Green function. As an application, our main results are employed for constructing some classes of exponentially convex functions and some Cauch...

Hlawka–Popoviciu inequalities on positive definite tensors

Article history: Received 13 November 2014 Accepted 25 August 2015 Available online xxxx Submitted by V. Mehrmann MSC: 15A15 15A39 15A69 46M05 47A63