Article
Note On Jakimovski-Leviatan Operators Preserving e–x
Authors
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Abstract
In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.
Keywords
Jakimovski-Leviatan operators, Exponential functions, Quantitative asymptotic formula, Uniform convergence, Voronovskya type theorem, 41A10, 41A25, 41A36
Citation
Acar, E., İzgi, A., & Serenbay, S. K. (2019). Note on jakimovski-leviatan operators preserving e–x. Applied Mathematics and Nonlinear Sciences, 4(2), 543–550. https://doi.org/10.2478/AMNS.2019.2.00051
E. Acar, A. İzgi and S. K. Serenbay, “Note on jakimovski-leviatan operators preserving e–x,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 543–550, 2019, doi: 10.2478/AMNS.2019.2.00051.
Acar E, İzgi A, Serenbay SK. Note on jakimovski-leviatan operators preserving e–x. Applied Mathematics and Nonlinear Sciences. 2019;4(2):543–550. doi:10.2478/AMNS.2019.2.00051.
Acar, E., İzgi, A. and Serenbay, S. K. (2019), ‘Note on jakimovski-leviatan operators preserving e–x’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 543–550. Available at: https://doi.org/10.2478/AMNS.2019.2.00051.
Acar, Ecem, et al. “Note on Jakimovski-leviatan Operators Preserving E–x.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 543–550. https://doi.org/10.2478/AMNS.2019.2.00051.
Acar, Ecem, Aydın İzgi, and Sevilay Kirci Serenbay. “Note on Jakimovski-leviatan Operators Preserving E–x.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 543–550. https://doi.org/10.2478/AMNS.2019.2.00051.
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Published by: Engineering Journals
