Dunkl-type generalization of the second kind beta operators via ( p , q ) $(p,q)$ -calculus
Abstract The main purpose of this research article is to construct a Dunkl extension of ( p , q ) $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter. We obtain Korovkin-type approximation theorems, local approximations, and weighted approximations. Further, we st...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-020-02534-2 |
| Summary: | Abstract The main purpose of this research article is to construct a Dunkl extension of ( p , q ) $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter. We obtain Korovkin-type approximation theorems, local approximations, and weighted approximations. Further, we study the rate of convergence by using the modulus of continuity, Lipschitz class and Peetre’s K-functionals. |
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| ISSN: | 1029-242X |