• On q-Baskakov-Durrmeyer-Stancu Operators in Approximation Theory

    Prerna Maheshwari Sharma1, Sangeeta Garg2 

    1. Department of Mathematics; SRM Univ., Ghaziabad (Uttar Pradesh), India.
    2. Research Scholar; Mewar University, Chittorgarh (Rajasthan), India.

    Abstract: This paper is the extension of Aral-Gupta [1] by the use of Stancu type generalization of q-Baskakov-Durrmeyer operators. We establish some important relations for these operators which provide an approximation process in the polynomial weighted space of continuous functions on [0, ∞). The rate of convergence and weighted approximation properties are also obtained.

    Keywords: q-Baskakov-Durrmeyer operators, Stancu type generalization, Rate of Convergence, Modulus of continuity, Weighted approximation.

    Pages: 760 – 774 | Full PDF Paper