Abstract In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42, 1988). We also give mean value theorems of Lagrange and Cauchy types. Finally, we construct means with Stolarsky property
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert s...
Copyright c © 2014 A. Khan et al. This is an open access article distributed under the Creative Comm...
There is a lot of literature available on convexity of functions. In contrast, the literature on the...
In this paper, we produce a novel framework of a subclass ofconvex functions that is exponentially c...
Abstract. In this paper, we discuss and prove n -exponential convexity of the linear functionals obt...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequa...
In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequa...
Abstract We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert s...
Copyright c © 2014 A. Khan et al. This is an open access article distributed under the Creative Comm...
There is a lot of literature available on convexity of functions. In contrast, the literature on the...
In this paper, we produce a novel framework of a subclass ofconvex functions that is exponentially c...
Abstract. In this paper, we discuss and prove n -exponential convexity of the linear functionals obt...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequa...
In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequa...
Abstract We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order con...
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert s...
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