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<p>In this paper, we investigate approximation properties using a family of Mellin convolution-type integral operators within the framework of variable bounded variation spaces with the help of summability methods. In this approximation, we use Bell-type summability methods. We also investigate the impact of regular summability methods on the approximation properties of these operators. Moreover, we examine the rate of approximation for certain functions belonging to a suitable Lipschitz class.</p>

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Approximation of Mellin convolution-type nonlinear integral operators in variable bounded variation spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月11日

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  • Hemen Dutta,
  • Manash Pratim Dutta

摘要

In this paper, we investigate approximation properties using a family of Mellin convolution-type integral operators within the framework of variable bounded variation spaces with the help of summability methods. In this approximation, we use Bell-type summability methods. We also investigate the impact of regular summability methods on the approximation properties of these operators. Moreover, we examine the rate of approximation for certain functions belonging to a suitable Lipschitz class.