Denjoy integral and Henstock-Kurzweil integral in vector lattices. I
In this paper we define the derivative and the Denjoy integral of mappings from a vector lattice to a complete vector lattice and show the fundamental theorem of calculus.
Denjoy integral and Henstock-Kurzweil integral in vector lattices. II
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
Dense chaos
According to A. Lasota, a continuous function from a real compact interval into itself is called generically chaotic if the set of all points , for which and , is residual in . Being inspired by this definition we say that is densely chaotic if this set is dense in . A characterization of the generically chaotic functions is known. In the paper the densely chaotic functions are characterized and it is proved that in the class of piecewise monotone maps with finite number of pieces the...
Denseness of domains of differential operators in Sobolev spaces.
Density Continuity versus Continuity.
Density covers
Density theorems for local minimizers of area-type functionals
Der Beweis des Fundamentalsatzes der Integralrechnung: ................
Der Greensche Satz
Der Kolmogroff'sche Darstellung-Satz bei halbstetigen Funktionen.
Der Satz von Osgood-Hartogs für reelle Funktionen.
Der Stieltjes'sche Integralbegriff und seine Verwertung in der Versicherungsmathematik
Derivácia a spojitosť
Derivates for symmetric functions
Derivatives are Borel functions.
Derivatives of Catalan related sums.
Derivatives of noninteger order and their applications [Book]
Descriptive properties of density preserving autohomeomorphisms of the unit interval
We prove that density preserving homeomorphisms form a Π11-complete subset in the Polish space ℍ of all increasing autohomeomorphisms of unit interval.
Descriptive properties of elements of biduals of Banach spaces
If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of , generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes...
Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization
Mathematics Subject Classification: 26A33, 93B51, 93C95In this paper, design of fractional order digital differentiators and integrators using indirect discretization is presented. The proposed approach is based on using continued fraction expansion to find the rational approximation of the fractional order operator, s^α. The rational approximation thus obtained is discretized by using s to z transforms. The proposed approach is tested for differentiators and integrators of orders 1/4 and 1/2. The...