论文标题
$ \pmbψ$ -caputo iyengar的类型不平等现象
$\pmbψ$-Caputo Fractional Iyengar's Type Inequalities
论文作者
论文摘要
在本文中，我们利用$ψ$ -CAPUTO分数衍生物建立了Iyengar型不平等，而这些衍生词的分数是针对其他功能的分数导数，这是对某些已知的分数衍生物（例如Riemann-Liouville，Hadamard，Erdélyi-Kober）的概括。本文中的不等式是关于$ l_ {p} $ norms，$ 1 \ leq p \ leq \ infty。$分析中使用的工具基于泰勒的公式，用于$ψ$ -CAPUTO-CAPUTO分数衍生物。
In this paper, we establish Iyengar type inequalities utilizing $ψ$-Caputo fractional derivatives that is, fractional derivative of a function with respect to another function, which is generalization of some known fractional derivatives such as Riemann-Liouville, Hadamard, Erdélyi-Kober. The inequalities in this article are with respect to $L_{p}$ norms, $1\leq p \leq \infty.$ The tools used in the analysis are based on Taylor's formulae for $ψ$-Caputo fractional derivatives.
