Results 31 to 40 of about 478 (139)
Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties
Journal of Inequalities and Applications, 2023 In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators.
Naim L. Braha +2 more
doaj +1 more source
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 +1 more source
A strong converse inequality for the iterated Boolean sums of the Bernstein operator [PDF]
, 2022 We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.
DRAGANOV, Borislav R.
core +2 more sources
The q‐Chlodowsky and q‐Szasz‐Durrmeyer Hybrid Operators on Weighted Spaces
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The main aim of this article is to introduce a new type of q‐Chlodowsky and q‐Szasz‐Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new q‐Hybrid operators. Moreover, in the weighted spaces, we examine the rate of convergence of the modified new q‐Hybrid operators by means of moduli of ...
Harun Çiçek +2 more
wiley +1 more source
Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators
Journal of Inequalities and Applications, 2021 In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these ...
Shahid Ahmad Wani +2 more
doaj +1 more source
Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space
Demonstratio Mathematica, 2014 In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
Krech Grażyna, Wachnicki Eugeniusz
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Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators
Axioms, 2022 We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator.
Yu-Jie Liu +3 more
doaj +1 more source
On partial derivatives of multivariate Bernstein polynomials [PDF]
, 2016 It is shown that Bernstein polynomials for a multivariate function converge to this function along with partial derivatives provided that the latter derivatives exist and are continuous.
A. N. Shiryaev +17 more
core +2 more sources
King-type operators related to squared Szász-Mirakyan basis [PDF]
, 2020 In this paper we study some approximation properties of a sequence of positive linear operators defined by means of the squared Szász-Mirakyan basis and prove that these operators behave better than the classical Szász-Mirakyan operators.
HOLHOȘ, Adrian
core +2 more sources
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