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<p>We discuss stability results of Hyers-Ulam type which are applied to some general mean value inequalities for symmetric and interval derivatives. The corresponding functions involved in these mean value inequalities are real-valued and defined on an interval [<i>a</i>,&#xa0;<i>b</i>] and are continuous but not necessarily differentiable. These results are then revisited in terms of a scale parameter on [<i>a</i>,&#xa0;<i>b</i>].</p>

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Hyers-Ulam type stability results

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Viorel Vîjîitu

摘要

We discuss stability results of Hyers-Ulam type which are applied to some general mean value inequalities for symmetric and interval derivatives. The corresponding functions involved in these mean value inequalities are real-valued and defined on an interval [a, b] and are continuous but not necessarily differentiable. These results are then revisited in terms of a scale parameter on [a, b].