Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators


  • Vijay Gupta Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India
  • Michael Th. Rassias Department of Mathematics and Engineering Sciences, Hellenic Military Academy, Greece and Institute for Advanced Study, Program in Interdisciplinary Studies, Princeton, USA


Approximation Theory, Ismail-May operators, Baskakov basis, asymptotic formula, simultaneous approximation, weighted Korovkin's theorem


In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic formula in simultaneous approximation.


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How to Cite

Gupta, V., & Rassias, M. T. (2021). Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators. J. Numer. Anal. Approx. Theory, 50(2), 153–163. Retrieved from