Linear operators that preserve some test functions
The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem ...
Octavian Agratini
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Approximation degree of Durrmeyer–Bézier type operators
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators.
Purshottam N. Agrawal +3 more
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Dunkl analogue of Szász-mirakjan operators of blending type
In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
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A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers
Agrawal et al. (Boll. Unione Mat. Ital. 8:169-180, 2015) introduced a Stancu-type Kantorovich modification of the operators proposed by Ren and Zeng (Bull. Korean Math. Soc.
Ruchi Chauhan +2 more
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High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates [PDF]
We present a new AFEM for the Laplace-Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally $W^1_\infty$ and piecewise in a suitable Besov class embedded in $C^{1,\alpha}$ with $\alpha \in (0,1]$.
Bonito, Andrea +4 more
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Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for Axiom A systems [PDF]
Using straightforward linear algebra we derive response operators describing the impact of small perturbations to finite state Markov processes. The results can be used for studying empirically constructed—e.g.
A Seneta +49 more
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On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions
In the present paper we introduce Baskakov-Kantorovich-Bézier operators and study their rate of convergence for functions of bounded variation.
Ulrich Abel, Vijay Gupta, Mircea Ivan
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The Virtual Element Method with curved edges
In this paper we initiate the investigation of Virtual Elements with curved faces. We consider the case of a fixed curved boundary in two dimensions, as it happens in the approximation of problems posed on a curved domain or with a curved interface ...
da Veiga, L. Beirão +2 more
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Rate of convergence of Stancu beta operators for functions of bounded variation
In this paper we study beta operators of second kind recently introduced by Prof. D. D. Stancu. We obtain an estimate on the rate of convergence for functions of bounded variation by means of the decomposition technique.
Ulrich Abel, Vijay Gupta
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On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity [PDF]
We study the optimal general rate of convergence of the n-point quadrature rules of Gauss and Clenshaw-Curtis when applied to functions of limited regularity: if the Chebyshev coefficients decay at a rate O(n^{-s-1}) for some s > 0, Clenshaw-Curtis and ...
Bornemann, Folkmar, Xiang, Shuhuang
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