Results 11 to 20 of about 439 (126)
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
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 +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
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
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 +4 more
doaj +2 more sources
Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators
Journal of MathematicsWe 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 +2 more
doaj +2 more sources
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 +2 more
doaj +2 more sources
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 +2 more
doaj +2 more sources
A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]
, 2015 The present paper concerns with the nonlinear Bernstein operators NBnf of the form ... acting on bounded functions on an interval [0; 1]; where Pn;k satisfy some suitable assumptions.
ATIN, Huseyin Erhan, KARSLI, Harun
core +3 more sources
The Voronovskaya theorem for some operators of the Szasz-Mirakjan type
Le Matematiche, 1995 We give the Voronovskaya theorem for some operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
doaj +1 more source