Results 31 to 40 of about 319 (79)
On -analogue of two parametric Stancu-Beta operators [PDF]
, 2007 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.
Abdizhahan M Sarsenbi +2 more
core +2 more sources
Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators
Cogent Mathematics, 2015 In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems.
Mursaleen, M., Khan, Faisal
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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
Some approximation results on Chlodowsky type q−Bernstein-Schurer operators
Filomat, 2023 The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre?s K-functional, respectively ...
Mursaleen, M., Aslan, Reşat
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On (p, q)‐Analogue of Gamma Operators
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this paper, a kind of new analogue of Gamma type operators based on (p, q)‐integers is introduced. The Voronovskaja type asymptotic formula of these operators is investigated. And some other results of these operators are studied by means of modulus of continuity and Peetre K−functional.
Wen-Tao Cheng +2 more
wiley +1 more source
On a Kantorovich Variant of (p, q)‐Szász‐Mirakjan Operators
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We propose a Kantorovich variant of (p, q)‐analogue of Szász‐Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of these new operators in terms of modulus of continuity ...
M. Mursaleen +3 more
wiley +1 more source
Approximation by Schurer Type λ-Bernstein–Bézier Basis Function Enhanced by Shifted Knots Properties
MathematicsIn this article, a novel Schurer form of λ-Bernstein operators augmented by Bézier basis functions is presented by utilizing the features of shifted knots.
Abdullah Alotaibi
doaj +1 more source
Hyers-Ulam stability of some positive linear operators [PDF]
The present article deals with the Hyers-Ulam stability of positive linear operators in approximation theory. We discuss the HU-stability of Bernstein-Schurer type operators, Bernstein-Durrmeyer operators and find the HU-stability constant for these ...
GOYAL, Meenu, KAUR, Jaspreet
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A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
wiley +1 more source
Approximation properties of some Bernstein-Schurer type operators
Journal of Physics: Conference Series, 2023 Abstract This paper mainly studies the approximation properties of Bernstein-Schurer operators based on a non-negative real parameter λ. By analysis techniques and the method to make the kernel estimation, the author studies the convergence order of this Schurer operators for the function class θBV[0,1 + p].
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