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The Approximation of a Modified Baskakov Operator [PDF]
Journal of Mathematics, 2023 Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. The number of in-depth studies on linear operator approximation is extensive, and the majority of the published ...
Ma Yingdian, Wang Weimeng
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On approximation properties of a new construction of Baskakov operators [PDF]
Advances in Difference Equations, 2021 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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Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces [PDF]
Journal of Inequalities and Applications, 2019 In the present manuscript, we define a non-negative parametric variant of Baskakov–Durrmeyer operators to study the convergence of Lebesgue measurable functions and introduce these as α-Baskakov–Durrmeyer operators.
Md Nasiruzzaman +3 more
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Generalized Baskakov-Beta Operators [PDF]
Rocky Mountain Journal of Mathematics, 2009 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(
Vijay Gupta, Ali̇ Aral
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Generalized Baskakov Kantorovich operators [PDF]
Filomat, 2017 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 ...
P. Ν. Agrawal, Meenu Goyal
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Approximation by multivariate Baskakov–Durrmeyer operators in Orlicz spaces [PDF]
Journal of Inequalities and Applications, 2023 Employing some properties of multivariate Baskakov–Durrmeyer operators and utilizing modified K-functional and a decomposition technique, the authors obtain the direct theorem and weak type inverse theorem in the Orlicz spaces.
Ling-Xiong Han, Yu-Mei Bai, Feng Qi
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Approximation by modified Jain–Baskakov operators [PDF]
Georgian Mathematical Journal, 2019 Abstract In the present paper, we discuss the approximation properties of Jain–Baskakov operators with parameter c. The paper deals with the modified forms of the Baskakov basis functions. Some direct results are established, which include the asymptotic formula, error estimation in terms of the modulus of continuity and weighted ...
Vishnu Narayan Mishra +2 more
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APPROXIMATION PROPERTIES OF MODIFIED BASKAKOV GAMMA OPERATORS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 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. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we give an approximation properties of weighted spaces.
Seda Arpagus, Ali Olgun
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On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations [PDF]
Journal of Inequalities and ApplicationsThis paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations.
Jun-Jie Quan +4 more
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Convergence Theorems for Derivatives of a New Baskakov -Type Operators
Wasit Journal for Pure SciencesThe motive of this paper is to introduce and investigate the derivatives of some Baskakov operators. Firstly, we treated with the convergence theorems on some certain type of Baskakov operators and then we found the derivative of these operators.
Haneen Jaafar, haneen jaafar
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