Approximation Properties of Bivariate Durrmeyer‐Type Exponential Sampling Series
ABSTRACT In this paper, we introduce an estimate of the Peano remainder for the bivariate Durrmeyer‐type exponential sampling series. Thereafter, we present some approximation results about the order of convergence for the series. In doing so, the rate of approximation is improved by constructing linear combinations of these operators. Furthermore, we present an example of kernel function with the graphical illustration to verify the findings.
Authors
- Marco Mpimbo
- Santosh Kumar (ORCID: https://orcid.org/0000-0003-2121-6428)
- Mohammad Mursaleen (ORCID: https://orcid.org/0000-0003-4128-0427)
- C. J. Buyenze
Institutions
- Aligarh Muslim University (IN)
- University of Dar es Salaam (TZ)
- China Medical University (TW)
- North Eastern Hill University (IN)
- Taipei Medical University Hospital (TW)
- China Medical University Hospital (TW)
- Saveetha University (IN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-10-08
- DOI
- https://doi.org/10.1002/mma.70137
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00