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...
Design of unknown input fractional-order observers for fractional-order systems
This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the...
Détermination de la valeur-limite d'une intégrale qui se présente dans la théorie des séries trigonométriques
Deux exemples de fonctions non mesurables
Développement d'une fonction à une seule variable, dans un intervalle donné, suivant les valeurs moyennes de cette fonction et de ses dérivées successives dans cet intervalle
Développement en séries des intégrales eulériennes
Développements de , de , de et de
Devil's staircases, ramps, humps and roller coasters
Diamond- Jensen's inequality on time scales.
Die allgemeinen Sätze über den Zusammenhang der Functionen einer reellen Variabeln mit ihren Ableitungen
Die allgemeinen Sätze über den Zusammenhang der Functionen einer reellen Variabelen mit ihren Ableitungen. II. Theil .
Die Elemente der Functionenlehre.
Die höheren Ableitungen zusammengesetzter Funktion
Die Intervalleigenschaft der Ober- und Untersummenmengen einer beschränkten Funktion.
Die Iteration als Fundamentalprocess mathematischer Operationen.