Characterizations of convex vector functions and optimization.
Characterizations of Kurzweil-Henstock-Pettis integrable functions
We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.
Characterizations of real functions by continua
Characterizations of sum form information measures on open domains.
Characterizations of the functions with bounded variation.
Characterizations of -stratifiable spaces
Charakterisierungen von nirgends differenzierbaren Weierstraß-Funktionen durch Replikativität.
Classes of Weighted Symmetric Functions
Classifications and characterizations of Baire-1 functions
Kechris and Louveau in [5] classified the bounded Baire-1 functions, which are defined on a compact metric space , to the subclasses , . In [8], for every ordinal we define a new type of convergence for sequences of real-valued functions (-uniformly pointwise) which is between uniform and pointwise convergence. In this paper using this type of convergence we obtain a classification of pointwise convergent sequences of continuous real-valued functions defined on a compact metric space , and...
Cluster directions of euclidean sets
Cluster sets of arbitrary functions defined on plane sets
Commuting functions and simultaneous Abel equations
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Compact operators and integral equations in the space
The space of Henstock-Kurzweil integrable functions on is the uncountable union of Fréchet spaces . In this paper, on each Fréchet space , an -norm is defined for a continuous linear operator. Hence, many important results in functional analysis, like the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem, hold for the space. It is known that every control-convergent sequence in the space always belongs to a space for some . We illustrate how to apply results...
Compactifications, Hartman functions and (weak) almost periodicity [Book]
Compacts de fonctions de première classe
Companion inequalities to Jensen's inequality for -convex and -convex functions.
Comparative Analysis of Viscoelastic Models Involving Fractional Derivatives of Different Orders
Mathematics Subject Classification: 74D05, 26A33In this paper, a comparative analysis of the models involving fractional derivatives of di®erent orders is given. Such models of viscoelastic materials are widely used in various problems of mechanics and rheology. Rabotnov's hereditarily elastic rheological model is considered in detail. It is shown that this model is equivalent to the rheological model involving fractional derivatives in the stress and strain with the orders proportional to a certain positive...
Comparison results and steady states for the Fujita equation with fractional laplacian
Comparison theorems of isoperimetric type for moments of compact sets.
A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
Complemented subalgebras of the Baire-1 functions defined on the interval .