We define a modification of Szász operators generated by Dunkl exponential functions via q-calculus based on a continuously differentiable function \(\tau \) on \([0,\infty )\) . The uniform approximation and weighted approximation of aforesaid operators are obtained. Moreover, the rate of convergence of our operators for functions belonging to the Lipschitz class including some other related approximation results is presented.

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Approximation by q-analogue of Modified Szász Operators Generated by Dunkl Exponential Functions

  • Md. Nasiruzzaman,
  • S. A. Mohiuddine

摘要

We define a modification of Szász operators generated by Dunkl exponential functions via q-calculus based on a continuously differentiable function \(\tau \) on \([0,\infty )\) . The uniform approximation and weighted approximation of aforesaid operators are obtained. Moreover, the rate of convergence of our operators for functions belonging to the Lipschitz class including some other related approximation results is presented.