10.1186/2251-7456-6-24

Note on approximation properties of generalized Durrmeyer operators

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  • Honey Sharma*1,
  1. Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, Punjab, 144 011, IN
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Published in Issue 2012-08-17

How to Cite

Sharma, H. (2012). Note on approximation properties of generalized Durrmeyer operators. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-24
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Abstract

Abstract Purpose To study the rate of convergence of q analogue of Durrmeyer operator generalization proposed by N. Deo. Methods We first estimate moments of q -Durrmeyer operators. We also study the rate of convergence our operators. Results We use Maple programming to draw the graphs for the approximation process for two operators. In all graphs, we observe that either classical operator has sharp convergence or both operators behave alike after a large number of iterations. Conclusions We conclude that the modified operator does not improve the approximation process.

Keywords

  • q-integers,
  • q-factorial,
  • q-Durrmeyer operators,
  • q-Beta function,
  • Modulus of continuity,
  • 41A25; 41A35
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References

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