Hermite–Hadamard and Fractional Integral Inequalities for Interval-Valued Generalized p-Convex Function

In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are...

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Bibliographic Details
Main Authors: Zhengbo Li, Kamran, Muhammad Sajid Zahoor, Huma Akhtar
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/4606439
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Summary:In the present paper, the new interval-valued generalized p convex functions are introduced. By using the notion of interval-valued generalized p convex functions and some auxiliary results of interval analysis, new Hermite–Hadamard and Fejér type inequalities are proved. The established results are more generalized than existing results in the literature. Moreover, fractional integral inequality for this generalization is also established.
ISSN:2314-4629
2314-4785