A sufficient condition for asymptotically well behaved property of convex polynomials

Xiao Bing Li; Suliman Al-Homidan; Qamrul Hasan Ansari; Jen Chih Yao

doi:10.1016/j.orl.2021.06.004

A sufficient condition for asymptotically well behaved property of convex polynomials

Xiao Bing Li
, Suliman Al-Homidan
, Qamrul Hasan Ansari
, Jen Chih Yao

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature.

Original language	English
Pages (from-to)	548-552
Number of pages	5
Journal	Operations Research Letters
Volume	49
Issue number	4
DOIs	https://doi.org/10.1016/j.orl.2021.06.004
State	Published - Jul 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

Asymptotically well behaved property
Convex polynomial
Error bound
Recession function

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/j.orl.2021.06.004

Cite this

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title = "A sufficient condition for asymptotically well behaved property of convex polynomials",

abstract = "In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature.",

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AU - Li, Xiao Bing

AU - Al-Homidan, Suliman

AU - Ansari, Qamrul Hasan

AU - Yao, Jen Chih

PY - 2021/7

Y1 - 2021/7

N2 - In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature.

AB - In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature.

KW - Asymptotically well behaved property

KW - Convex polynomial

KW - Error bound

KW - Recession function

UR - https://www.scopus.com/pages/publications/85107659128

U2 - 10.1016/j.orl.2021.06.004

DO - 10.1016/j.orl.2021.06.004

M3 - Article

AN - SCOPUS:85107659128

SN - 0167-6377

VL - 49

SP - 548

EP - 552

JO - Operations Research Letters

JF - Operations Research Letters

IS - 4

ER -

A sufficient condition for asymptotically well behaved property of convex polynomials

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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