论文标题

Q-bernstein-Stancu-Kantorovich操作员的近似,真实参数有变化

Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters

论文作者

Mursaleen, Mohammad Ayman, Kilicman, Adem, Nasiruzzaman, Md.

论文摘要

我们本文的主要目的是研究Q-Bernstein-Kantorovich运算符的收敛和其他相关特性,包括实际正数的转变。我们设计了由基本Q-Calculus产生的Bernstein-Kantorovich操作员的转变结。更准确地说,我们研究了新运营商在连续功能和Lebesgue空间中的收敛性。我们在连续性模量和连续性模量的帮助下获得了收敛程度。此外,我们建立了Voronovskaja型的定量估计值。

Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers. We design the shifted knots of Bernstein-Kantorovich operators generated by the basic q-calculus. More precisely, we study the convergence properties of our new operators in the space of continuous functions and Lebesgue space. We obtain the degree of convergence with the help of modulus of continuity and integral modulus of continuity. Furthermore, we establish the quantitative estimates of Voronovskaja-type.

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