[PDF][PDF] Blending type approximation by generalized Bernstein-Durrmeyer type operators

A Kajla, T Acar - Miskolc Mathematical Notes, 2018 - real.mtak.hu
In this article we construct a Durrmeyer modification of the operators introduced by Chen et
al. in [10] based on a non-negative real parameter. We establish local approximation, global …

Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators

T Acar - Georgian Mathematical Journal, 2016 - degruyter.com
In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szász
operators defined in. We consider weighted spaces of functions and the corresponding …

Asymptotic formulas for generalized Szász–Mirakyan operators

T Acar - Applied Mathematics and Computation, 2015 - Elsevier
In the present paper, we consider the general Szász–Mirakyan operators and investigate
their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Grüss …

Positive Linear Operators Preserving and

T Acar, A Aral, I Raşa - Constructive Mathematical Analysis, 2019 - dergipark.org.tr
In the paper we introduce a general class of linear positive approximation processes defined
on bounded and unbounded intervals designed using an appropriate function …

On sequences of JP King‐type operators

T Acar, M Cappelletti Montano… - Journal of Function …, 2019 - Wiley Online Library
This survey is devoted to a series of investigations developed in the last fifteen years,
starting from the introduction of a sequence of positive linear operators which modify the …

Approximation by modified Szász-Durrmeyer operators

T Acar, G Ulusoy - Periodica Mathematica Hungarica, 2016 - Springer
The main goal of this paper is to introduce Durrmeyer modifications for the generalized
Szász–Mirakyan operators defined in (Aral et al., in Results Math 65: 441–452, 2014). The …

[图书][B] Recent advances in constructive approximation theory

V Gupta, TM Rassias, PN Agrawal, AM Acu - 2018 - Springer
Recent Advances in Constructive Approximation Theory deals with various recent problems
on linear positive operators. We survey upon recent research work in this domain and also …

Genuine modified Bernstein–Durrmeyer operators

SA Mohiuddine, T Acar, MA Alghamdi - Journal of Inequalities and …, 2018 - Springer
The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some
certain functions. The rate of convergence of new operators via a Peetre K K-functional and …

Jain's operator: A new construction and applications in approximation theory

KJ Ansari, M Civelek, F Usta - Mathematical Methods in the …, 2023 - Wiley Online Library
The new and more comprehensive Jain‐type operators based on a function τ and two
sequences of functions pn and qn have been introduced. This newly defined operator has …

A new construction of Szász-Mirakyan operators

A Aral, G Ulusoy, E Deni̇z - Numerical Algorithms, 2018 - Springer
The paper aims to study a generalization of Szász-Mirakyan-type operators such that their
construction depends on a function ρ by using two sequences of functions. To show how the …