[图书][B] Approximation with positive linear operators and linear combinations
Approximation of functions by positive linear operators is an important branch of the
approximation theory. To increase the order of approximation a useful tool is the method of …
approximation theory. To increase the order of approximation a useful tool is the method of …
[图书][B] Recent advances in constructive approximation theory
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 …
on linear positive operators. We survey upon recent research work in this domain and also …
Poisson approximation to the binomial distribution: Extensions to the convergence of positive operators
The idea behind Poisson approximation to the binomial distribution was used in de la Cal
and Luquin (J Approx Theory 68 (3): 322–329, 1992) and subsequent papers in order to …
and Luquin (J Approx Theory 68 (3): 322–329, 1992) and subsequent papers in order to …
A nice representation for a link between Baskakov-and Szász–Mirakjan–Durrmeyer operators and their Kantorovich variants
M Heilmann, I Raşa - Results in Mathematics, 2019 - Springer
In this paper we consider a link between Baskakov–Durrmeyer type operators and
corresponding Kantorovich type modifications of their classical variants. We prove a useful …
corresponding Kantorovich type modifications of their classical variants. We prove a useful …
Approximation for link Ismail–May operators
In the present paper, we discuss the approximation properties of certain link integral
modification of Ismail–May operators. We point out here that the operators of Ismail–May can …
modification of Ismail–May operators. We point out here that the operators of Ismail–May can …
Further Results for kth order Kantorovich Modification of Linking Baskakov Type Operators
K Baumann, M Heilmann, I Raşa - Results in Mathematics, 2016 - Springer
In this paper we consider a non-trivial link between Baskakov type operators and their
genuine Durrmeyer type modification as well as the k th order Kantorovich variant …
genuine Durrmeyer type modification as well as the k th order Kantorovich variant …
Approximation by Lupaş-Beta integral operators
V Gupta, TM Rassias, R Yadav - Applied Mathematics and Computation, 2014 - Elsevier
In the present article we introduce certain Lupaş-Beta operators which preserve constant as
well as linear functions. We define the operators in terms of hypergeometric series and …
well as linear functions. We define the operators in terms of hypergeometric series and …
Szász–Mirakjan–Kantorovich operators reproducing affine functions
J Bustamante - Results in Mathematics, 2020 - Springer
We present a new Kantorovich modification of Szász–Mirakjan operators which reproduce
affine functions. We present an upper estimate for the rate of convergence of the new …
affine functions. We present an upper estimate for the rate of convergence of the new …
kth Order Kantorovich Modification of Linking Baskakov-Type Operators
M Heilmann, I Raşa - Mathematical Analysis and its Applications: Roorkee …, 2015 - Springer
In 1957 Baskakov introduced a general method for the construction of positive linear
operators depending on a real parameter c. The so-called genuine Baskakov–Durrmeyer …
operators depending on a real parameter c. The so-called genuine Baskakov–Durrmeyer …
Quantitative Voronovskaya-type results for polynomially bounded functions
Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions Page 1
Results. Math. 70 (2016), 313–324 c© 2016 Springer International Publishing 1422-6383/16/030313-12 …
Results. Math. 70 (2016), 313–324 c© 2016 Springer International Publishing 1422-6383/16/030313-12 …