Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type
| Autor: | Manjari Sidharth, Nurhayat Ispir, Purshottam Narain Agrawal |
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| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Constant coefficients Control and Optimization Degree (graph theory) 010102 general mathematics Microlocal analysis Spectral theorem Type (model theory) Operator theory 01 natural sciences Fourier integral operator Computer Science Applications 010101 applied mathematics Rate of convergence Signal Processing Applied mathematics 0101 mathematics Analysis Mathematics |
| Zdroj: | Numerical Functional Analysis and Optimization. 39:295-307 |
| ISSN: | 1532-2467 0163-0563 |
| DOI: | 10.1080/01630563.2017.1360347 |
| Popis: | Sharma (Appl. Math. Comput. 259:741-752) introduced the mixed summation integral-type two-dimensional q-Lupas-Phillips-Bernstein operators (D) over tilde)(n,m)(qn,qm), wherein he established the rate of approximation by applying Korovkin theorem and studied the weighted approximation properties. The goal of this paper is to establish a Voronovskaja-type theorem and introduce the associated generalized Boolean Sum (GBS) case (T) over tilde)(n,m)(qn,qm) of these operators and study the degree of approximation by the Lipschitz class of Bogel continuous functions and the mixed modulus of smoothness. Furthermore, we show the rate of convergence of the bivariate operators (D) over tilde)(n,m)(qn,qm) and the corresponding GBS operators (T) over tilde)(n,m)(qn,qm) by illustrative graphics and numerical examples using Maple algorithms. |
| Databáze: | OpenAIRE |
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