Approximation of q-Stancu-Beta Operators Which Preserve \(x^2\)

Article

Abstract

In this paper, we study some approximation properties of q-analogue of Stancu-Beta operators which preserve \(x^{2}\). We determine the rate of global convergence in weighted spaces. We also prove the Voronovskaja-type theorem for these operators.

Keywords

q-Analogue of Stancu-Beta operators Modulus of continuity Voronovskaja-type theorem Korovkin-type approximation theorem 

Mathematics Subject Classification

41A10 41A25 41A36 

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Copyright information

© Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2015

Authors and Affiliations

  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

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