Results 11 to 20 of about 448 (115)

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

Journal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +2 more sources

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Journal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen   +2 more
doaj   +2 more sources

Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function

Journal of Function Spaces, 2022
With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly ...
Gurhan Icoz, Seda Demir
doaj   +2 more sources

Voronovskaya Type Theorems in Weighted Spaces

Numerical Functional Analysis and Optimization, 2016
In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Erençin, Ayşegül, Raşa, Ioan
openaire   +3 more sources

Approximation by Genuine $q$-Bernstein-Durrmeyer Polynomials in Compact Disks in the case $q > 1$ [PDF]

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
This paper deals with approximating properties of the newly defined $q$-generalization of the genuine Bernstein-Durrmeyer polynomials in the case $q>1$, whcih are no longer positive linear operators on $C[0,1]$. Quantitative estimates of the convergence,
Mahmudov, Nazim I.
core   +4 more sources

A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators

Journal of Mathematical Analysis and Applications, 2010
The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
Anastassiou, George A., Mezei, Razvan A.
openaire   +3 more sources

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

Journal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai   +4 more
doaj   +2 more sources

Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators

Journal of Mathematics
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman, Rubayyi T. Alqahtani, S. A. Mohiuddine   +2 more
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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Abstract and Applied Analysis, 2012
We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen, Rabia Aktaş, Abdullah Altın   +2 more
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On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

Abstract and Applied Analysis, 2012
This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu, Gürhan İçöz, Serhan Varma   +2 more
doaj   +2 more sources