Some Approximation Results on Two Parametric q-Stancu–Beta Operators

  • M. MursaleenEmail author
  • Khursheed J. Ansari


In the present paper, we introduce a two parametric q-analogue of Stancu-Beta operators and establish some direct results in the polynomial weighted space of continuous functions defined on the interval \([0,\infty )\). We use Lipschitz-type maximal function to find pointwise estimate. Furthermore, we obtain a Voronovskaja-type theorem for these operators.


q-analogue of Stancu–Beta operators Modulus of continuity Voronovskaja-type theorem K-functional Weighted approximation Rate of approximation q-Beta integral 

Mathematics Subject Classification

41A10 41A25 41A36 



The second author would like to express his gratitude to King Khalid University, Saudi Arabia for providing administrative and technical support.


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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2017

Authors and Affiliations

  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia
  2. 2.Department of Mathematics, College of ScienceKing Khalid UniversityAbhaSaudi Arabia

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