AbstractBy way of the Bochner integral of vector-valued functions, the integral convexity of sets and functionals and the concept of integral extreme points of sets are introduced in Banach spaces. The relations between integral convexity and convexity are mainly discussed, two integral extreme points theorems and their applications are obtained at last
summary:The extension theorem of bounded, weakly compact, convex set valued and weakly countably add...
A function is said to be convexifiable if it becomes convex after adding to it a strictly convex qua...
Aim of Investigation: Birkhoff integral of functions taking values in a Banach space plays an import...
AbstractBy way of the Bochner integral of vector-valued functions, the integral convexity of sets an...
AbstractIn the present paper we focus on a generalization of the notion of integral convexity. This ...
Formulas are derived in this paper for the conjugates of convex integral functionals on Banach space...
The purpose of this paper is to give another definition of the superposition integral by using anoth...
AbstractIn this paper we give a simple proof of inequalities of integrals of functions which are the...
We prove generalizations of Jensen\u2019s integral inequality for proper convex functions defined on...
summary:The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex ...
Some Lebesgue integral inequalities of Jensen type for λ-convex functions defined on real intervals ...
AbstractLet Mp, 1 <-p < ∞, be the Marcinkiewcz Banach space. The elements of Mp are equivalence clas...
The Bochner integral is a generalization of the Lebesgue integral, for functions taking their values...
summary:We present a Cauchy test for the almost derivability of additive functions of bounded BV set...
AbstractBanach spaces contain convex sets having pathological sets of extreme points
summary:The extension theorem of bounded, weakly compact, convex set valued and weakly countably add...
A function is said to be convexifiable if it becomes convex after adding to it a strictly convex qua...
Aim of Investigation: Birkhoff integral of functions taking values in a Banach space plays an import...
AbstractBy way of the Bochner integral of vector-valued functions, the integral convexity of sets an...
AbstractIn the present paper we focus on a generalization of the notion of integral convexity. This ...
Formulas are derived in this paper for the conjugates of convex integral functionals on Banach space...
The purpose of this paper is to give another definition of the superposition integral by using anoth...
AbstractIn this paper we give a simple proof of inequalities of integrals of functions which are the...
We prove generalizations of Jensen\u2019s integral inequality for proper convex functions defined on...
summary:The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex ...
Some Lebesgue integral inequalities of Jensen type for λ-convex functions defined on real intervals ...
AbstractLet Mp, 1 <-p < ∞, be the Marcinkiewcz Banach space. The elements of Mp are equivalence clas...
The Bochner integral is a generalization of the Lebesgue integral, for functions taking their values...
summary:We present a Cauchy test for the almost derivability of additive functions of bounded BV set...
AbstractBanach spaces contain convex sets having pathological sets of extreme points
summary:The extension theorem of bounded, weakly compact, convex set valued and weakly countably add...
A function is said to be convexifiable if it becomes convex after adding to it a strictly convex qua...
Aim of Investigation: Birkhoff integral of functions taking values in a Banach space plays an import...
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