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Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals

Author

Listed:
  • Hui Dong

    (School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China)

  • Qiulan Qi

    (School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China
    Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China)

Abstract

The main purpose of this paper is to introduce a new family of parametric Kantorovichtype operators on the half-bounded interval. The convergence properties of these new operators are investigated. The Voronovskaja-type weak inverse theorem and the rate of uniform convergence are obtained. Furthermore, we obtain some shape preserving properties of these operators, including monotonicity, convexity, starshapeness, and semi-additivity preserving properties. Finally, some numerical illustrative examples show that these new operators have a better approximation performance than the classical ones.

Suggested Citation

  • Hui Dong & Qiulan Qi, 2023. "Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals," Mathematics, MDPI, vol. 11(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4997-:d:1302407
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