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Research Article

Kantorovich Variant of Jain-Pethe Operators

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Pages 551-566 | Received 16 Sep 2020, Accepted 20 Feb 2021, Published online: 14 Mar 2021

References

  • Jain, G. C., Pethe, S. (1977). On the generalizations of Bernstein and Szász-Mirakjan operators. Nanta Math. 10:185–193.
  • Abel, U., Ivan, M. (2007). On a generalization of an approximation operator defined by A. Lupaş, Gen. Math. 15(1):21–34.
  • Lupaş, A. (1995). The approximation by means of some linear positive operators. Approximation theory. Math. Res. 86:201–229.
  • Gupta, V., Rassias, M. T. (2019). Moments of Linear Positive Operators and Approximation, Series: Springer Briefs in Mathematics. Springer Nature Switzerland AG.
  • Agratini, O. (2000). On the rate of convergence of a positive approximation process. Nihonkai Math. J. 11(1):47–56.
  • Dhamija, M., Pratap, R., Deo, N. (2018). Approximation by Kantorovich form of modified Szász-Mirakyan operators. Appl. Math. Comput. 317:109–120. DOI: 10.1016/j.amc.2017.09.004.
  • Deo, N., Pratap, R. (2020). Approximation by integral form of Jain and Pethe operators. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. DOI: 10.1007/s40010-020-00691-z.
  • Bustamante, J. (to appear). Baskakov-Kantorovich operators reproducing affine functions. Stud. Math. Babeş-Bolyai Math.
  • Holhoş, A. (2011). Uniform weighted approximation by positive linear operators. Stud. Univ. Babes-Bolyai Math. 56(3):135–146.

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