Α-Baskakov-Durrmeyer type operators and their approximation properties
نویسندگان
چکیده
In the present research article, we construct a new family of summation-integral type hybrid operators in terms shape parameter ? [0, 1]. Further, basic estimates, rate convergence and order approximation with aid Korovkin theorem modulus smoothness are investigated. Moreover, numerical simulation graphical approximations studied. For these sequences positive linear operators, study local results using Peetre?s K-functional, Lipschitz class second order. Next, obtain weighted space. Lastly, A-statistical-approximation presented.
منابع مشابه
On Simultaneous Approximation for Certain Baskakov Durrmeyer Type Operators
In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish pointwise convergence, an asymptotic formula an error estimation and an inverse result in simultaneous approximation for these new operators.
متن کاملSome approximation properties of Baskakov-Durrmeyer-Stancu operators
Keywords: Baskakov–Durrmeyer operator Pointwise convergence Asymptotic formula q-Analogue a b s t r a c t In this paper, we are dealing with a new type of Baskakov–Durrmeyer–Stancu (BDS) operators D ða;bÞ n ðf ; xÞ defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic form...
متن کاملApproximation properties of q-Baskakov-Durrmeyer-Stancu operators
Purpose: The purpose of this paper is to introduce and study the BaskakovDurrmeyerStancu operators based on q-integers. Methods: First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators L n,q . Results: We studied better error estimations for these o...
متن کاملOn Certain Baskakov-durrmeyer Type Operators
This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothness.
متن کامل( p,q)-Genuine Baskakov-Durrmeyer operators
In the present article, we propose the $(p,q)$ variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2303935r