Results 41 to 50 of about 158 (155)

Generalized Szász-Mirakian Type Operators [PDF]

In this paper, we are proposing certain modifications of Szász-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.
GUPTA, Nandita, AGRAWAL, Raksha Rani
core   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
wiley   +1 more source

Fractional Korovkin Theory Based on Statistical Convergence [PDF]

, 2009
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Duman, Oktay, Anastassiou, George A.
core  

On the continuity in q of the family of the limit q-Durrmeyer operators

Demonstratio Mathematica
This study deals with the one-parameter family {Dq}q∈[0,1]{\left\{{D}_{q}\right\}}_{q\in \left[0,1]} of Bernstein-type operators introduced by Gupta and called the limit qq-Durrmeyer operators.
Yılmaz Övgü Gürel, Ostrovska Sofiya, Turan Mehmet   +2 more
doaj   +1 more source

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

Korovkin type approximation on an infinite interval via generalized matrix summability method using ideal [PDF]

, 2020
Following the notion of AI -summability method for real sequences [24] we establish a Korovkin type approximation theorem for positive linear operators on UC∗[0, ∞), the Banach space of all real valued uniform continuous functions on [0, ∞) with the ...
GHOSH, Rima, DUTTA, Sudipta
core   +1 more source

On global smoothness preservation by Bernstein-type operators [PDF]

, 2015
We study global smoothness preservation of a function f by sequences of Bernstein-type operators with respect to a certain modulus of continuity of order two.
TALPĂU DIMITRIU, Maria
core  

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

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