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
Pawel KOLWICZ * and Ryszard PLUCIENNIK** • It is proved that tSe Musielak-Orhicz function space L4,(...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
We start from a basic version of the Hahn-Banach theorem, of which we provide a proof based on Tycho...
AbstractIn the present paper we focus on a generalization of the notion of integral convexity. This ...
AbstractBy way of the Bochner integral of vector-valued functions, the integral convexity of sets an...
The thesis consists of seven research papers. The first two papers study the properties of fragmente...
Formulas are derived in this paper for the conjugates of convex integral functionals on Banach space...
AbstractIt is shown that a Banach space E has the Radon-Nikodym property (equivalently, every bounde...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
The paper continues the study of the notion of Riemann–Lebesgue integral, which was introduced befor...
Let a be a PC (point of continuity) for a bounded closed convex set K of a Banach space. Then x is a...
In this paper, we described about Musielak-Orlicz function spaces of Bochner type. It has been obtai...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
The thesis consists of two sections, the theoretical and the practical one. Theoretical part deals w...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
Pawel KOLWICZ * and Ryszard PLUCIENNIK** • It is proved that tSe Musielak-Orhicz function space L4,(...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
We start from a basic version of the Hahn-Banach theorem, of which we provide a proof based on Tycho...
AbstractIn the present paper we focus on a generalization of the notion of integral convexity. This ...
AbstractBy way of the Bochner integral of vector-valued functions, the integral convexity of sets an...
The thesis consists of seven research papers. The first two papers study the properties of fragmente...
Formulas are derived in this paper for the conjugates of convex integral functionals on Banach space...
AbstractIt is shown that a Banach space E has the Radon-Nikodym property (equivalently, every bounde...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
The paper continues the study of the notion of Riemann–Lebesgue integral, which was introduced befor...
Let a be a PC (point of continuity) for a bounded closed convex set K of a Banach space. Then x is a...
In this paper, we described about Musielak-Orlicz function spaces of Bochner type. It has been obtai...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
The thesis consists of two sections, the theoretical and the practical one. Theoretical part deals w...
The classical notions of essential smoothness, essential strict convexity, and Legendreness for conv...
Pawel KOLWICZ * and Ryszard PLUCIENNIK** • It is proved that tSe Musielak-Orhicz function space L4,(...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
We start from a basic version of the Hahn-Banach theorem, of which we provide a proof based on Tycho...
DOI
Add to ORKG