Results 51 to 60 of about 153 (152)

Quantitative results for the convergence of the iterates of some King type operators [PDF]

, 2019
In this article we construct three q -King type operators which fix the functions e0 and e2 +αe1, α > 0. We study the rates of convergence for the iterates of these operators using the first and the second order modulus of continuity. We show that the
BIROU, Marius Mihai
core   +2 more sources

Approximation process of a positive linear operator of hypergeometric type

Demonstratio Mathematica
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
doaj   +1 more source

Direct and Converse Theorems for Generalized Bernstein-Type Operators [PDF]

, 2004
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators.
Finta, Zoltán
core  

On Kantorovich variant of Brass-Stancu operators

Demonstratio Mathematica
In this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat, Bostancı Tuğba, Başcanbaz-Tunca Gülen   +2 more
doaj   +1 more source

Transformation of the second order modulus by positive linear operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
Pǎltǎnea Radu, Stan Gabriel
doaj   +1 more source

On two modified Phillips operators: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary. [PDF]

, 2019
In this note we introduce two new modified Phillips operators G1 and n. We obtain direct estimates for approximation of bounded continuous functions, defined on [0, ∞) by G1 , as well as for approximation of unbounded continuous functions by G2 We ...
TACHEV, Gancho
core  

Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]

, 2010
2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Duman, Oktay, Anastassiou, George A.
core  

A new kind of Durrmeyer-Stancu-type operators

Demonstratio Mathematica
The objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-
Cai Qing-Bo, Güngör Şule Yüksel, Çekim Bayram   +2 more
doaj   +1 more source

A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]

, 2006
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
core  

Operator norms of Gauß-Weierstraß operators and their left quasi interpolants [PDF]

, 2019
The paper deals with the Gauß–Weierstraß operators Wn and their left quasi interpolants W [r]. The quasi interpolants were defined by Paul Sablonni`ere in 2014.
ABEL, Ulrich
core   +2 more sources