Properties of -Meyer-König-Zeller Durrmeyer operators.
Rate of convergence for a general sequence of Durrmeyer type operators.
Rate of convergence of a new type Kantorovich variant of Bleimann-Butzer-Hahn operators.
Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation.
Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators.
Rate of convergence of Chlodowsky type Durrmeyer operators.
Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case
Using tools of approximation theory, we evaluate rates of bias convergence for sequences of generalized L-statistics based on i.i.d. samples under mild smoothness conditions on the weight function and simple moment conditions on the score function. Apart from standard methods of weighting, we introduce and analyze L-statistics with possibly random coefficients defined by means of positive linear functionals acting on the weight function.
Rekursionsformeln für die zentralen Momente der PÖLYA- und der Beta-Verteilung.
Relation between best approximant and orthogonality in -classes.
Relative Korovkin-Sätze und Ränder.
Saturation for Farvard operators in weighted function spaces
Saturation theorem for the combinations of modified Beta operators in -spaces.
Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator
The paper is devoted to a careful analysis of the shape-preserving properties of the strongly continuous semigroup generated by a particular second-order differential operator, with particular emphasis on the preservation of higher order convexity and Lipschitz classes. In addition, the asymptotic behaviour of the semigroup is investigated as well. The operator considered is of interest, since it is a unidimensional Black-Scholes operator so that our results provide qualitative information on the...
Shift invariant operators and a saturation theorem
The properties of shift invariant operators are proved: It is shown that Q has polynomial order r iff r is the rate of convergence of . A weak saturation theorem is given. If f is replaced by in the weak saturation formula the asymptotics of the expression is calculated. Moreover, bootstrap approximation is introduced.
Simultaneous approximation by a class of linear positive operators.
Some Applications of new Modified q-Szász–Mirakyan Operators
This paper we introducing a new sequence of positive q-integral new Modified q-Szász-Mirakyan Operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on . Weighted statistical approximation theorem, Korovkin-type theorems for fuzzy continuous functions, an estimate for the rate of convergence and some properties are also obtained for these operators.
Some condensation theorems for semigroup operators.
Some negative results concerning the process of Fejér type trigonometric convolution.
Some Polynomial Approximation Operators.
Some properties of generalized Szàsz type operators of two variables