In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples
AbstractIn this paper we shall give a global upper bound for Jensen's inequality without restriction...
AbstractA Bochner-integral formulation of Jensen's inequality is presented for Hermitian matrix-valu...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequaliti...
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces und...
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying e...
AbstractA variant of Jensen’s operator inequality for convex functions, which is a generalization of...
We improve the classical Jensen inequality for convex functions by extending it to a wider class of ...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
We obtained useful identities via generalized Montgomery identities, by which the inequality of Popo...
We obtained useful identities via generalized Montgomery identities, by which the inequality of Popo...
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along wit...
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along wit...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
AbstractIn this paper we shall give a global upper bound for Jensen's inequality without restriction...
AbstractA Bochner-integral formulation of Jensen's inequality is presented for Hermitian matrix-valu...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...
Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequaliti...
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces und...
Some conversions of the Jensen-Steffensen inequality for convex functions are considered. Applying e...
AbstractA variant of Jensen’s operator inequality for convex functions, which is a generalization of...
We improve the classical Jensen inequality for convex functions by extending it to a wider class of ...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
We obtained useful identities via generalized Montgomery identities, by which the inequality of Popo...
We obtained useful identities via generalized Montgomery identities, by which the inequality of Popo...
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along wit...
We propose a Jensen-Mercer type variant and a Niezgoda type extension of Gabler inequality along wit...
Two new classes of convex functions at a point are intro- duced and some interesting related results...
AbstractIn this paper we shall give a global upper bound for Jensen's inequality without restriction...
AbstractA Bochner-integral formulation of Jensen's inequality is presented for Hermitian matrix-valu...
In this paper we apply so called exp-convex method to the converse Jensen-Steffensen inequality in o...