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In this chapter, we introduce a new modification of the Kantorovich-type q -Balázs-Szabados operators and investigate the weighted approximation properties of a new modification of Kantorovich-type q-Bernstein-type rational operators by using the weighted modulus of continuity, and we provide the main convergence result for the weighted estimation of these new operators.

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Estimates for Modified q-Bernstein-Type Rational Kantorovich Operators Based on Weighted Convergence

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  • 发表日期：

    2025年

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  • Hayatem Hamal

摘要

In this chapter, we introduce a new modification of the Kantorovich-type q -Balázs-Szabados operators and investigate the weighted approximation properties of a new modification of Kantorovich-type q-Bernstein-type rational operators by using the weighted modulus of continuity, and we provide the main convergence result for the weighted estimation of these new operators.