Results 241 to 250 of about 830,215 (273)

On the Composition and Decomposition of Positive Linear Operators (V)

Results in Mathematics, 2010
This note discusses the indecomposability and decomposability of certain operators occurring frequently in approximation theory: piecewise linear interpolation and Bernsteintype operators. The second topic includes the central (absolute) moments of the composition of two operators and their asymptotic behavior.
Heiner Gonska, Ioan Raşa
openaire   +3 more sources

The Lower Estimate for Linear Positive Operators (II)

Results in Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knoop, Hans-Bernd, Zhou, Xin-long
openaire   +2 more sources

Graphic Behavior of Positive Linear Operators

SIAM Journal on Applied Mathematics, 1971
The case g(z) 1_ yields the classical operators of Otto Szasz [5]. The operators Pn were introduced by Jakimovski and Leviatan [1], who proved certain approximation properties of Pn(f; x) for real x. The author [6] investigated approximation properties of Pn(f; z) for complex z, as well as variation-diminishing properties of the operators and ...
openaire   +1 more source

On Linear Positive Operators

1964
Let C[a,b] denote the class of all real functions f(x) which, are defined and continuous on the closed interval [a,b] of the real x-axis and let C 2π denote the class of all real functions which are defined, continuous, and periodic with period 2π on the real axis (-∞,∞).
openaire   +1 more source

Certain positive linear operators

Mathematical Notes of the Academy of Sciences of the USSR, 1978
Properties (including the approximating ones) are investigated of positive linear operators Ln(f; x) for which the relation $$L_n \left( {\left( {t - x} \right)f\left( t \right); x} \right) = \frac{{\varphi \left( x \right)}}{n}L'_n \left( {f\left( t \right); x} \right)$$
openaire   +2 more sources

Asymptotic formulae for positive linear operators.

2002
Asymptotic formulae for sequences of approximating positive linear operators play an important role in the investigation of the corresponding saturation classes. As a consequence of the pioneering work of the first author it has been shown that asymptotic formulae are useful also in studying the representation of some semigroups of operators in terms ...
ALTOMARE, Francesco, AMIAR R.
openaire   +1 more source

On positive linear interpolation operators

Analysis Mathematica, 1975
В этой работе мы даем о бобщение понятия нор мальной системы точек, введен ного Фейером [3]. Наше определ ение включает и случа й бесконечного интерв ала (0, ∞).
openaire   +2 more sources

A class of linear positive operators

Mathematical Notes of the Academy of Sciences of the USSR, 1988
The author introduces and investigates two new classes of positive, linear operators that are similar (with respect to their spectral properties) to classes of quasi-sign-regular and quasi-totally-positive operators.
openaire   +1 more source

On the Approximation by Linear Positive Operators

1970
This paper is concerned with some properties of linear positive operators which are in analogy with the well-known Bernstein operator. Let ℑ j (I j ), j = 1,2, denote two linear spaces of real functions defined on the sets I j , j = 1,2, of points of the real axis. Let L n :ℑ 1 (I 1 ) →ℑ 2 (I 2 ), n = 1,2,..., be a sequence of linear positive operators
openaire   +1 more source

Degeneracy of positive linear operators

1998
A survey of results, obtained by the authors in the topic of degeneracy of positive linear operators, is given. It is shown that degeneracy is not only a privilege of Bernstein operators. Another type of generalization deals with multidimensional Bernstein polynomials over simplices.
KOCIC L, DELLA VECCHIA, Biancamaria
openaire   +3 more sources