Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

<p>In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Nidhi Sharma (509997) (author)
مؤلفون آخرون: Sanjeev Kumar Singh (7157657) (author), Shashi Kant Mishra (14153355) (author), Abdelouahed Hamdi (14158899) (author)
منشور في: 2022
الموضوعات:
الوسوم: إضافة وسم
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الملخص:<p>In this paper, we introduce $(h_{1},h_{2})$ ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.</p><h2>Other Information</h2> <p> Published in: Journal of Inequalities and Applications<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1186/s13660-021-02623-w" target="_blank">http://dx.doi.org/10.1186/s13660-021-02623-w</a></p>