Results 11 to 20 of about 533 (157)
Generalized Baskakov Kantorovich operators [PDF]
In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with ...
Agrawal, P. N., Goyal, Meenu
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On q-Baskakov type operators [PDF]
AbstractIn the present paper we introduce twoOne can say that, depending on the selection ...
Aral, Ali, Gupta, Vijay
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Generalized Baskakov-Beta Operators [PDF]
Denote \[ C_{\gamma}[0,\infty):=\left\{ f\in C[0,\infty): f(t)=O(t^{\gamma}) \text{ as } t\to\infty \text{ for some } \gamma>0\right\}. \] For \(f\in C_{\gamma}[0,\infty)\) and \(\alpha>0\) consider the modified Baskakov-beta operators, introduced by Wang in 2005: \[ B_{n,\alpha}(f,x)= \sum_{k=0}^\infty p_{n,k,\alpha}(x)\int_0^\infty b_{n,k,\alpha}(t)f(
Gupta, Vijay, Aral, Ali
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The generalized Baskakov type operators [PDF]
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Sevilay Kirci Serenbay +2 more
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Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators [PDF]
In this paper, the approximation property of the linear combinations of Baskakov operators is investigated by using a Jacobi weight function. Moreover, both the positive and inverse theorems for the weighted simultaneous approximation of the linear ...
Xiao-jun Tang, Xin-chang Wang, Hua Yi
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GENUINE MODIFIED BASKAKOV-DURRMEYER OPERATORS [PDF]
The present paper deals with genuine Baskakov Durrmeyer operators which have preserved certain functions. We have obtained quantitative Voronovskaya and quantitative Grüss type Voronovskaya theorems using the weighted modulus of continuity. These results include the preservation properties of the classical genuine Baskakov Durrmeyer operators.
Ulusoy Ada, Gülsüm
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On approximation properties of a new construction of Baskakov operators [PDF]
The purpose of this research is to construct sequences of Baskakov operators such that their construction consists of a function σ by use of two function sequences, ξ n $\xi _{n} $ and η n $\eta _{n} $ .
Fuat Usta
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Strong converse inequalities for Baskakov operators [PDF]
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Shunsheng Guo, Qiulan Qi
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Stancu Type Baskakov—Durrmeyer Operators and Approximation Properties [PDF]
In this article, we introduce Stancu type generalization of Baskakov–Durrmeyer operators by using inverse Pólya–Eggenberger distribution. We discuss some basic results and approximation properties. Moreover, we study the statistical convergence for these
Adem Kilicman +2 more
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Weighted approximation by generalized Baskakov operators reproducing affine functions [PDF]
Some extension of the Baskakov operators are introduced. The new operators reproduce affine functions. The rate of convergence of the associated approximation process is obtained in polynomial type weighted spaces. A Voronovskaja type result is included.
Jorge Bustamante
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