Add to ORKGCopyright c © 2014 Khan, Pečaric ́ and Perić. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper an inequality of Popoviciu, which was improved by Vasic ́ and Stankovic ́ [13], is generalized by using Green function. An extension of Popoviciu type inequality is introduced. The mean value theorems, n-exponential convexity and exponential convexity are presented for the differences of these inequalities and related Cauchy means are also generated
In this paper, we study the AA-convexity and GG-convexity\ud of Stolarsky means, of which Hölder, Ch...
It is a fact that, the theory of inequalities, priding on a history of more than two centuries, play...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
We formulate new identities involving new Green functions. Inequality of Popoviciu, which was improv...
We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean v...
Inequalities lie at the heart of a great deal of mathematics.G. H. Hardy reported Harald Bohr as say...
Abstract. Generalizations of some results given in [1] and [5] are presented and it is shown that, a...
There is a lot of literature available on convexity of functions. In contrast, the literature on the...
AbstractT. Popoviciu (1965) [13] has proved an interesting characterization of the convex functions ...
We give here some extensions of inequalities of T. Popoviciu and T. Rado. The idea is to use an ineq...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pe...
Copyright c © 2014 A. Khan et al. This is an open access article distributed under the Creative Comm...
Abstract In this paper, we investigate n-exponential convexity and log-convexity using the positive ...
Abstract. T. Popoviciu [13] has proved in 1965 an interesting characteriza-tion of the convex functi...
In this paper, we study the AA-convexity and GG-convexity of Stolarsky means, of which Hölder, Cheb...
In this paper, we study the AA-convexity and GG-convexity\ud of Stolarsky means, of which Hölder, Ch...
It is a fact that, the theory of inequalities, priding on a history of more than two centuries, play...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
We formulate new identities involving new Green functions. Inequality of Popoviciu, which was improv...
We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean v...
Inequalities lie at the heart of a great deal of mathematics.G. H. Hardy reported Harald Bohr as say...
Abstract. Generalizations of some results given in [1] and [5] are presented and it is shown that, a...
There is a lot of literature available on convexity of functions. In contrast, the literature on the...
AbstractT. Popoviciu (1965) [13] has proved an interesting characterization of the convex functions ...
We give here some extensions of inequalities of T. Popoviciu and T. Rado. The idea is to use an ineq...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pe...
Copyright c © 2014 A. Khan et al. This is an open access article distributed under the Creative Comm...
Abstract In this paper, we investigate n-exponential convexity and log-convexity using the positive ...
Abstract. T. Popoviciu [13] has proved in 1965 an interesting characteriza-tion of the convex functi...
In this paper, we study the AA-convexity and GG-convexity of Stolarsky means, of which Hölder, Cheb...
In this paper, we study the AA-convexity and GG-convexity\ud of Stolarsky means, of which Hölder, Ch...
It is a fact that, the theory of inequalities, priding on a history of more than two centuries, play...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...