带节制分式积分的赫米特-哈达马德不等式的新中点型不等式

T. Tunç, Ayşe Nur Altunok
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引用次数: 0

摘要

在本研究中,我们通过调和分式积分得到了赫米特-哈达马德不等式的一些中点类型不等式。为此,我们首先要得到一个同一性。然后,利用这一特性,并借助模函数、赫尔德不等式、幂均值不等式、正在进行的研究以及上述论文,我们得到了预期的中点类型不等式。此外,我们还给出了我们结果的特例。我们看到,我们的特殊结果给出了早期的工作。
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New Midpoint-type Inequalities of Hermite-Hadamard Inequality with Tempered Fractional Integrals
In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity. After that, using this identity and with the help of modulus function, Hölder inequality, power mean inequality, ongoing research and the papers mentioned, we have reached our intended midpoint type inequalities. Also, we give the special cases of our results. We see that our special results give earlier works.
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发文量
51
审稿时长
10 weeks
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