Abstract
The present work deals with the mathematical investigation of some generalizations of the Szász operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Szász operators involving multiple Sheffer polynomials are considered. Convergence properties of these operators are verified with the help of the universal Korovkin-type result and the order of approximation is calculated by using classical modulus of continuity. Further, the convergence of these operators are also discussed in weighted spaces of functions on the positive semi-axis and estimate the approximation with the help of weighted modulus of continuity. The theoretical results are exemplified choosing the special cases of multiple Sheffer polynomials.
Original language | English |
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Number of pages | 19 |
Journal | Journal of Analysis |
Early online date | 26 May 2022 |
DOIs | |
Publication status | E-pub ahead of print - 26 May 2022 |
Keywords
- Szász operators
- Modulus of continuity
- Rate of convergence
- Multiple Sheffer polynomials