涉及分数阶积分算子的一些hermite-hadamard型不等式

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Science and Arts Pub Date : 2022-12-30 DOI:10.46939/j.sci.arts-22.4-a15

L. Ciurdariu

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引用次数: 0

摘要

对于三阶导数绝对值为二阶凸的函数，给出了新的广义Hermite-Hadamard型不等式，该不等式涉及Riemann-Liouville分数积分。为此，建立了包含分数阶积分算子的三次可微映射的积分恒等式。然后在一些特殊情况下提出了几种后果。

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SOME HERMITE-HADAMARD TYPE INEQUALITIES INVOLVING FRACTIONAL INTEGRAL OPERATORS

The aim of this article is to give new generalized Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral for functions whose absolute values of third derivatives are s-convex in the second sense. In order to do that an integral identity for three times differentiable mapping involving fractional integral operators is established. Several consequences are then presented in some special cases.

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来源期刊

Journal of Science and Arts MULTIDISCIPLINARY SCIENCES-

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25.00%

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