Skip to main content
Log in

Pointwise estimate for modified Baskakov type operators

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

In the present paper, we derive the pointwise estimate for the linear combination of hybrid (Baskakov and Beta Durrmeyer) operators by using of Ditzian-Totik modulus of smoothness.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Deo, Direct result on the Durrmeyer variant of Beta operators, Southeast Asian Bull. Math. 32, 283 (2008).

    MATH  MathSciNet  Google Scholar 

  2. Z. Ditzian and V. Totik, Moduli of Smoothness (Springer-Verlag, Berlin, New York, 1987).

    MATH  Google Scholar 

  3. S. Guo, C. Li, Y. Sun, G. Yang, and S. Yue, Pointwise estimate for Szász-type operators, J. Approx. Theory 94, 160 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  4. S. Guo and Z. Song, Pointwise approximation by Baskakov-Durrmeyer operators, J. Math. Res. Exposition, 21(3), 441 (2001).

    MATH  MathSciNet  Google Scholar 

  5. S. Guo, S. Yue, C. Li, G. Yang, and Y. Sun, A pointwise approximation theorem for linear combinations of Bernstein polynomials, Abstr. Appl. Anal. 1(4), 397 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  6. V. Gupta, A note on modified Baskakov type operators, Approx. Theory and its Appl. 10:3, 74 (1994).

    MATH  Google Scholar 

  7. Z. Song, X. Liu, and S. Guo, Pointwise estimate for exponential-type operators, Southeast Asian Bull. Math. 24, 463 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  8. D. X. Zhou, On a paper of Mazhar and Totik, J. Approx. Theory 72, 290 (1993).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naokant Deo.

Additional information

Submitted by D.Kh. Mushtari

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deo, N. Pointwise estimate for modified Baskakov type operators. Lobachevskii J Math 31, 36–42 (2010). https://doi.org/10.1134/S1995080210010063

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080210010063

Key words and phrases

Navigation