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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.30 No.1

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Approximation by Modified Post-­Widder Operators

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.1, pp.67-81
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.67
Sheetal Deshwal
Rupesh K. Srivastav
Gopi Prasad
Sheetal, D. , Rupesh, K. S. , & Gopi, P. (2023). Approximation by Modified Post-­Widder Operators. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(1), 67-81, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.1.67

Abstract

The current article manages with new generalization of Post-Widder operators preserving constant function and other test functions in Bohmann-Korovkin sense and studies the approximation properties via different estimation tools like modulus of continuity and approximation in weighted spaces. The viability of the recently modified operators as per classical Post-Widder operators is introduced in specific faculties also. Numerical examples are additionally introduced to verify our theortical results. In second last section we introduce Grüss-Voronovskaya results and in last section, we show the better approximation our new modified operators via graphical exmaples using Mathematica.

keywords
Post-Widder operators, Bohmann-Korovkin theorem, Gruss-inequality, weighted spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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