Results 31 to 40 of about 8,373,569 (114)
The Voronovskaya theorem for some linear positive operators in exponential weight spaces [PDF]
, 1997 In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0, +∞) and having the exponential growth at infinity.
L. Rempulska +3 more
core +1 more source
On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
doaj +1 more source
Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators
, 2016 Acar, Tuncer/0000-0003-0982-9459In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity.
Acar, Tuncer
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators
Journal of Inequalities and Applications, 2016 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
doaj +1 more source
On the Baskakov-Durrmeyer type operators [PDF]
, 2014 In this paper we will study some approximate properties of Baskakov-Durrmeyer type operators \(M_n^{\alpha,a}\).
Malejki, Renata, Wachnicki, Eugeniusz
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Approximation properties of a new family of Gamma operators and their applications
Advances in Difference Equations, 2021 The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators ...
Reyhan Özçelik +3 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
wiley +1 more source
On Sequences of J. P. King‐Type Operators
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 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 classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar +4 more
wiley +1 more source
A new construction of Lupaş operators and its approximation properties
Advances in Difference Equations, 2021 The aim of this paper is to study a new generalization of Lupaş-type operators whose construction depends on a real-valued function ρ by using two sequences u m $u_{m} $ and v m $v_{m}$ of functions.
Mohd Qasim +3 more
doaj +1 more source
Approximation of Real Functions by a Generalization of Ismail–May Operator
Mathematics, 2022 In this paper, we generalize a sequence of positive linear operators introduced by Ismail and May and we study some of their approximation properties for different classes of continuous functions. First, we estimate the error of approximation in terms of
Adrian Holhoş
doaj +1 more source