Bernstein Operators
The Bézier variant of Kantorovich type λ Bernstein operators
... In this paper, we introduce the Bézier variant of Kantorovich type λ -Bernstein operators with parameter λ ∈ [–1, 1]. We establish a global approximation theorem in terms of second order modulus of ...
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Approximation properties of λ Bernstein operators
... -Bernstein operators with parameter λ ∈ [–1, 1], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous ...
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Shape preserving properties of a new family of generalized Bernstein operators
... α-Bernstein operators, and investi- gated some approximation properties, such as the rate of convergence, Voronovskaja-type asymptotic formulas, ...α-Bernstein operators they introduced are ...
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The Average Errors for Linear Combinations of Bernstein Operators on the Wiener Space*
... Recently G. Q. Xu [4] studied the average errors of Bern- stein operators approximation on the Wiener space. Mo- tivated by [4], we considered the average errors of func- tion approximation by linear combinations ...
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Some Approximation Properties of Szasz-Mirakyan-Bernstein Operators
... Abstract. In this study, we have constructed a new sequence of positive linear operators by using Szasz- Mirakyan and Bernstein operators on space of continuous functions on the unit compact ...
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Some approximation properties of \((p,q)\) Bernstein operators
... several operators in post-quantum calculus, namely the (p, q)-calculus have been studied ...Bernstein operators. The approximation properties for these operators based on Korovkin’s theorem ...
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On Approximation Properties of (p,q)-Bernstein Operators
... the Bernstein polynomial of order n of the function f (x) in ...of Bernstein polynomials (1) were investigated in [2], [3], ...the Bernstein operators and investigated its approximation ...
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On Convergence Properties of Szasz Mirakyan Bernstein Operators of two Variables
... The Bernstein polynomials are used for important ap- plications in the branches of mathematics, for example, approximation theory, probability theory, number the- ory, the solution of the integral and differential ...
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Approximation for a generalization of Bernstein operators
... Bézier-type operators were introduced by Chang [], later many results were given in [–], and more recent approximation results can be found in ...Bézier-type operators for functions of bounded variation, ...
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Inequalities for a class of multivariate operators
... In this paper, we will introduce and study the multivariate version defined on the sim- plex of the generalized Bernstein operators given by (). The main aim is to establish the direct and inverse ...
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A Study on Some New Results Arising from p; q -Calculus
... joint distribution of pairs of statistics. Arik et al. [1] introduced (p; q)-number to inves- tigate Fibonacci oscillators. Thereby, several physical and mathematical problems lead to the necessity of (p; q)-calculus. ...
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Statistical approximation of modified Schurer type q Bernstein Kantorovich operators
... of Bernstein operators, and in another q- generalization of the Bernstein polynomials was introduced by Phillips ...the Bernstein polynomials based on the q-integers attracted a lot of ...
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Approximation by \((p,q)\) Lupaş–Schurer–Kantorovich operators
... 1962, Bernstein–Schurer operators were identified in the paper of Schurer ...of Bernstein operators in rational form. Some other q-Bernstein polynomial was defined by Phillips [22] in ...
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Chlodowsky variant of q Bernstein Schurer Stancu operators
... q-based Bernstein operators and obtained the Korovkin-type approximation ...q-based Bernstein operators were defined by Phillips [, ...q-based operators have become an active research ...
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Some statistical approximation properties of Kantorovich type q Bernstein Stancu operators
... q-Bernstein operators; in [] q-Baskakov-Kantorovich operators; in [] Kantorovich-type q-Szász-Mirakjan operators; in [] q-Bleimann, Butzer and Hahn operators; in [] q-analogue ...
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A basic problem of \((p,q)\) Bernstein type operators
... positive operators to construct new approximation ...of Bernstein operators was first introduced by Mursaleen [, ...type Bernstein-Stancu-Schurer [] operators were also considered, ...
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Some approximation results on Bernstein Schurer operators defined by \((p,q)\) integers
... q-Bernstein operators were introduced by Lupaş [] and later by Philip ...various operators and investigated several approximation ...Stancu-Beta operators in [] and []; the q-analog of ...
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On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators
... Bernstein operators. They investigated uniform convergence of the operators and order of convergence, obtained Voronovskaja theorem as ...of Bernstein opera- tors, Bernstein-Stancu ...
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On \((p,q)\) Szász Mirakyan operators and their approximation properties
... linear operators introduced by using ...of Bernstein polynomials based on ...of Bernstein operators ...the operators and also obtained a Voronovskaya-type ...of Bernstein-Stancu ...
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On \((p,q)\) analogue of two parametric Stancu Beta operators
... classical Bernstein operators [], a (p, q)-analogue of the Bernstein- Stancu operators [], and a (p, q)-analogue of the Bernstein-Schurer operators [] and have studied ...
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