AbstractThe concept of superquadratic functions in several variables, as a generalization of the same concept in one variable is introduced. Analogous results to results obtained for convex functions in one and several variables are presented. These include refinements of Jensen's inequality and its counterpart, and of Slater–Pečarić's inequality
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derive...
AbstractT. Popoviciu (1965) [13] has proved an interesting characterization of the convex functions ...
Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In...
Abstract. Using known properties of superquadratic functions we ob-tain a sequence of inequalities f...
AbstractThe concept of superquadratic functions in several variables, as a generalization of the sam...
In this work, an operator superquadratic function (in the operator sense) for positive Hilbert space...
The paper focuses on the derivation of the integral variants of Jensen's inequality for convex ...
A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when th...
In this paper some Fejér-type inequalities for superquadratic functionsare established, we al...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derived...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
In this paper we derive and discuss some new theorems related to all rearrangements of a given set i...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derive...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derive...
AbstractT. Popoviciu (1965) [13] has proved an interesting characterization of the convex functions ...
Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In...
Abstract. Using known properties of superquadratic functions we ob-tain a sequence of inequalities f...
AbstractThe concept of superquadratic functions in several variables, as a generalization of the sam...
In this work, an operator superquadratic function (in the operator sense) for positive Hilbert space...
The paper focuses on the derivation of the integral variants of Jensen's inequality for convex ...
A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when th...
In this paper some Fejér-type inequalities for superquadratic functionsare established, we al...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derived...
The operator convex functions of several variables are characterized in terms of a non-cummutative g...
In this paper we derive and discuss some new theorems related to all rearrangements of a given set i...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derive...
A new Jensen inequality for multivariate superquadratic functions is derived and proved. The derive...
AbstractT. Popoviciu (1965) [13] has proved an interesting characterization of the convex functions ...
Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In...
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