Properties of Exponentially m-Convex Functions

Muhammad Aslam Noor () and Khalida Inayat Noor ()
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Muhammad Aslam Noor: COMSATS University Islamabad
Khalida Inayat Noor: COMSATS University Islamabad

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 373-388 from Springer

Abstract: Abstract In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities. Several interesting results characterizing the exponentially m-convex functions are obtained. Results obtained in this paper can be viewed as significant improvement of previously known results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_17

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DOI: 10.1007/978-3-030-61732-5_17

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