FRACTIONAL OSTROWSKI TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION WITH APPLICATIONS

IF 3.3 3区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-11 DOI:10.1142/s0218348x23501281

YONGFANG QI, GUOPING LI

引用次数: 0

Abstract

In this paper, we introduce [Formula: see text]-convex function, and obtain a new identity by the method called integrating by parts. Based on the identity, many Ostrowski type inequalities are presented through the Hölder’s inequality and the well-known power-mean inequality. Under certain conditions, the results we obtained can be transformed into the classical results. Of course, at the end of the paper, some examples are given to support the main results.

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(s,m)-凸函数的分数OSTROWSKI型不等式及其应用

本文引入[公式:见文]-凸函数，用分部积分的方法得到一个新的恒等式。在此恒等式的基础上，通过Hölder不等式和幂均不等式给出了许多Ostrowski型不等式。在一定条件下，我们得到的结果可以转化为经典结果。当然，在论文的最后，给出了一些例子来支持主要结果。

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

Fractals-Complex Geometry Patterns and Scaling in Nature and Society 数学-数学跨学科应用

CiteScore

7.40

自引率

23.40%

发文量

319

审稿时长

>12 weeks

期刊介绍： The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes. Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.