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In this paper, we define a new Kantorovich-type (p,q)-generalization of the Balázs–Szabados operators. We derive a recurrence formula, and with the help of this formula, we give explicit formulas for… Click to show full abstract
In this paper, we define a new Kantorovich-type (p,q)-generalization of the Balázs–Szabados operators. We derive a recurrence formula, and with the help of this formula, we give explicit formulas for the first and second-order moments, which follow a symmetric pattern. We estimate the second and fourth-order central moments. We examine the local approximation properties in terms of modulus of continuity, we give a Voronovskaja type theorem, and we give the weighted approximation properties of the operators.
Keywords:
type generalization;
generalization bernstein;
kantorovich type;
type rational;
bernstein type
Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!