Some properties of semi (p, e)-convexity

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1481

Rivan Emad Hazim, S. N. Majeed

引用次数: 0

Abstract

In this paper, we present a new class of functions called semi (p, e)-convex functions which represent a combination of p- convex and semi e-convex functions. We discuss some important properties and characteristics of this class. For applying this class of new functions to optimize programming, we present some optimality properties such that the cost function of the optimization programming is semi (p, e)-convex and the set of constraints is (p, e)-convex.

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半(p, e)-凸性的一些性质

本文给出了一类新的函数，称为半(p, e)凸函数，它是p-凸函数和半e-凸函数的组合。我们讨论了这个类的一些重要性质和特征。为了将这类新函数应用于优化规划，我们给出了优化规划的代价函数为半(p, e)凸，约束集为(p, e)凸的最优性性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.