Abstract
The topic of this note is a simplification of proofs for the representation of kth order Kantorovich modifications of linking Baskakov type operators given in our previous papers (Heilmann and Raşa in Mathematics and Computing. Springer, Berlin, pp. 312–320, 2017, [1], Heilmann and Raşa in Results Math. 74:9, 2019, [2]).
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References
M. Heilmann, I. Raşa, A nice representation for a link between Bernstein-Durrmeyer and Kantorovich operators, in Proceedings of ICMC 2017, Haldia, India, January 2017, ed. by D. Giri et.al. Springer Proceedings in Mathematics and Computing (Springer, 2017), pp. 312–320
M. Heilmann, I. Raşa, A nice representation for a link between Baskakov- and Szász-Mirakjan-Durrmeyer operators and their Kantorovich variants. Results Math. 74, 9 (2019). https://doi.org/10.1007/s00025-018-0932-4
R. Păltănea, A class of Durrmeyer type operators preserving linear functions, Ann. Tiberiu Popoviciu Sem. Funct. Eq. Approx. Conv. (Cluj-Napoca) 5, 109–117 (2007)
E. Stanila, On Bernstein-Euler-Jacobi operators. PhD thesis, Universität Duisburg-Essen, 2014
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Heilmann, M., Raşa, I. (2020). Note on a Proof for the Representation of the kth Order Kantorovich Modification of Linking Baskakov Type Operators. In: Deo, N., Gupta, V., Acu, A., Agrawal, P. (eds) Mathematical Analysis I: Approximation Theory . ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore. https://doi.org/10.1007/978-981-15-1153-0_8
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