Strong convexity is considered for real functions defined on a real interval. Probabilistic characterization is given and its geometrical sense is explained. Using this characterization some inequalities of Jensen-type are obtained
Abstract The Jensen inequality for convex functions holds under the assumption that all of the inclu...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mer...
In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties a...
AbstractJensen's inequality f(EX) ≤ Ef(X) for the expectation of a convex function of a random varia...
Jensen's inequality for concave functions J J (f) du < j (ff dt) (1) or for convex functions i...
The paper provides a structural analysis of the feasible set defined by linear probabilistic constra...
The article provides a structural analysis of the feasible set defined by linear probabilistic const...
Abstract. We develop a new framework for the Jensen-type inequalities that allows us to deal with fu...
probabilistic metric spaces can be carried out with the aid of a continuous, strictly increasing fun...
The field of stochastic processes is essentially a branch of probability theory, treating probabilis...
The main results of this paper give a connection between strong Jensen convexity and strong convexit...
In recent years, new classes of convex functions have been introduced in order to generalize the res...
Abstract In this paper, we introduce the h-convex concept for interval-valued functions. By using th...
International audienceIn decision-making problems under uncertainty, probabilistic constraints are a...
Abstract The Jensen inequality for convex functions holds under the assumption that all of the inclu...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mer...
In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties a...
AbstractJensen's inequality f(EX) ≤ Ef(X) for the expectation of a convex function of a random varia...
Jensen's inequality for concave functions J J (f) du < j (ff dt) (1) or for convex functions i...
The paper provides a structural analysis of the feasible set defined by linear probabilistic constra...
The article provides a structural analysis of the feasible set defined by linear probabilistic const...
Abstract. We develop a new framework for the Jensen-type inequalities that allows us to deal with fu...
probabilistic metric spaces can be carried out with the aid of a continuous, strictly increasing fun...
The field of stochastic processes is essentially a branch of probability theory, treating probabilis...
The main results of this paper give a connection between strong Jensen convexity and strong convexit...
In recent years, new classes of convex functions have been introduced in order to generalize the res...
Abstract In this paper, we introduce the h-convex concept for interval-valued functions. By using th...
International audienceIn decision-making problems under uncertainty, probabilistic constraints are a...
Abstract The Jensen inequality for convex functions holds under the assumption that all of the inclu...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mer...