Hermite–Hadamard-Like Inequalities Involving Generalized Biconvex Functions

Muhammad Uzair Awan, Muhammad Aslam Noor, Muhammad Zakria Javed, Khalida Inayat Noor and Michael Th. Rassias
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Muhammad Uzair Awan: Government College University
Muhammad Aslam Noor: COMSATS University Islamabad
Muhammad Zakria Javed: Government College University
Khalida Inayat Noor: COMSATS University Islamabad
Michael Th. Rassias: Hellenic Military Academy

A chapter in Geometry and Non-Convex Optimization, 2025, pp 1-33 from Springer

Abstract: Abstract The main objective of this chapter is to introduce the class of generalized biconvex functions. We show that this class relates to several unrelated classes of convexity. We derive several new integral inequalities of the Hermite–Hadamard type essentially using the generalized biconvexity property of the functions. We discuss several special cases, which show that our results are quite unifying.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-87057-6_1

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DOI: 10.1007/978-3-031-87057-6_1

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