Results 31 to 40 of about 439 (126)

The Voronovskaya theorem for some linear positive operators in exponential weight spaces [PDF]

open access: yes, 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.
Rempulska, L., Skorupka, M.
core   +2 more sources

Voronovskaya Type Theorems in Weighted Spaces

open access: yesNumerical 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

APPROXIMATION PROPERTIES OF MODIFIED BASKAKOV GAMMA OPERATORS [PDF]

open access: yes, 2021
In this present paper, we study an approximation properties of modified Baskakov-Gamma operator. Using Korovkin type theorem we first give approximation properties of this operator.
Arpagus, Seda, Olgun, Ali
core   +1 more source

Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators

open access: yesJournal 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

Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators

open access: yesAxioms, 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

A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators

open access: yesJournal 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   +1 more source

The q‐Chlodowsky and q‐Szasz‐Durrmeyer Hybrid Operators on Weighted Spaces

open access: yesJournal 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

Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space

open access: yesDemonstratio 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
doaj   +1 more source

Approximation properties of the new type generalized Bernstein-Kantorovich operators

open access: yesAIMS Mathematics, 2022
In this paper, we introduce new type of generalized Kantorovich variant of α-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz ...
Mustafa Kara
doaj   +1 more source

On partial derivatives of multivariate Bernstein polynomials [PDF]

open access: yes, 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

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