Is Gauss Quadrature Optimal for Analytic Functions?
Isomorphism of some anisotropic Besov and sequence spaces
An isomorphism between some anisotropic Besov and sequence spaces is established, and the continuity of a Stieltjes-type integral operator, acting on some of these spaces, is proved.
Iterates of a class of discrete linear operators via contraction principle
In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.
Jackson-type theorems for compact symmetric spaces of rank 1.
Józef Marcinkiewicz (1910-1940) - on the centenary of his birth
Józef Marcinkiewicz’s (1910-1940) name is not known by many people, except maybe a small group of mathematicians, although his influence on the analysis and probability theory of the twentieth century was enormous. This survey of his life and work is in honour of the anniversary of his birth and anniversary of his death. The discussion is divided into two periods of Marcinkiewicz’s life. First, 1910-1933, that is, from his birth to his graduation from the University of Stefan Batory in Vilnius,...
Kaczmarz algorithm in Hilbert space
The aim of the Kaczmarz algorithm is to reconstruct an element in a Hilbert space from data given by inner products of this element with a given sequence of vectors. The main result characterizes sequences of vectors leading to reconstruction of any element in the space. This generalizes some results of Kwapień and Mycielski.
Kaczmarz algorithm with relaxation in Hilbert space
We study the relaxed Kaczmarz algorithm in Hilbert space. The connection with the non-relaxed algorithm is examined. In particular we give sufficient conditions when relaxation leads to the convergence of the algorithm independently of the relaxation coefficients.
Kantorovic Operators of Second Order.
Kantorovich-Stancu type operators.
Kernel estimates for fractional integrals with polynomial weights
King type modification of -Bernstein-Schurer operators
Very recently the -Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve (2003), in this paper we modify -Bernstein-Schurer operators to King type modification of -Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions and study the approximation properties of these operators. We establish a convergence theorem...
Kolmogorov problem in and extremal Zolotarev ω-splines [Book]
Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic.
Konstruktion und algebraische Eigenschaften von M-Spline-Interpolierenden.
Konvergenzverhalten der konjugierten Shannonschen Abtastreihe
Korovkin Approximation in C0(X).
Korovkin Approximation in Waelbroeck Algebras.
Korovkin sets and mean ergodic theorems.
Korovkin Theorems for Adapted Spaces with Respect to a Positive Operator.
Korovkin theory in Banach -algebras