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- Title
INEQUALITIES AND NUMERICAL RESULTS OF APPROXIMATION FOR BIVARIATE q-BASKAKOV-DURRMEYER TYPE OPERATORS INCLUDING q-IMPROPER INTEGRAL.
- Authors
ÖZKAN, ESMA YILDIZ
- Abstract
In this study, we investigate inequalities estimating the error of the approximation of bivariate q-Baskakov-Durrmeyer type operators including q-improper integral. We firstly introduce bivariate q-Baskakov-Durrmeyer type operators including the q-improper integral. We obtain inequalities estimating the error of the approximation for these operators. Later, we introduce generalized Boolean sum (GBS) operators associated to the bivariate q-Baskakov-Durrmeyer type operators including the q-improper integral, and we give an inequality estimating the error of the approximation for the GBS operators. Lastly, we present numerical results of error estimations for certain functions with the help of maple software.
- Subjects
MATHEMATICAL inequalities; APPROXIMATION theory; OPERATOR theory; IMPROPER integrals; MATHEMATICAL functions
- Publication
Journal of Mathematical Inequalities, 2022, Vol 16, Issue 2, p499
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2022-16-36