Determination of Novel Estimations for the Slater Difference and Applications

IF 1.7 4区工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Complexity Pub Date : 2024-05-30 DOI:10.1155/2024/8481103

Muhammad Adil Khan, Hidayat Ullah, Tareq Saeed, Zaid M. M. M. Sayed, Salha Alshaikey, Emad E. Mahmoud

引用次数: 0

Abstract

The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity. We present a diverse type of applications that stem from the main findings related to power means, Zipf–Mandelbrot entropy, and within the field of information theory. Our main tools for deriving estimates for the Slater difference involve the triangular inequality, the definition of the convex function, and the well-established Jensen inequality.

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确定斯莱特差值的新估算值及其应用

数学不等式领域对众多科学学科产生了深远的影响，使其成为一个充满魅力和广阔前景的研究领域。本文通过凸性概念的应用，对斯莱特差进行了估计。我们介绍了与幂级数、Zipf-Mandelbrot 熵相关的主要研究成果以及信息论领域内的各种应用。我们推导斯莱特差值估计值的主要工具包括三角不等式、凸函数定义和行之有效的詹森不等式。

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

Complexity 综合性期刊-数学跨学科应用

CiteScore

5.80

自引率

4.30%

发文量

595

审稿时长

>12 weeks

期刊介绍： Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.