Generalized Ostrowski-type inequalities involving second derivatives via the Katugampola fractional integrals

Journal of Nonlinear Sciences and Applications Pub Date : 2019-03-18 DOI:10.22436/JNSA.012.08.02

S. Kermausuor

引用次数: 9

Abstract

In this paper, we provide some Ostrowski-type integral inequalities for functions whose second derivatives belongs to the Lebesgue Lq spaces using the Katugampola fractional integrals. We also introduced some new inequalities of Ostrowski-type for functions whose second derivatives in absolute value at some powers are strongly (s,m)-convex with modulus μ > 0 (in the second sense). Our results are generalizations of some earlier results in the literature.

查看原文本刊更多论文

由Katugampola分数阶积分得到二阶导数的广义ostrowski型不等式

本文利用Katugampola分数阶积分，给出了二阶导数属于Lebesgue Lq空间的函数的ostrowski型积分不等式。我们还引入了一些新的ostrowski型不等式，这些函数的二阶导数在某些幂下的绝对值为强(s,m)-凸，模量为μ > 0(在第二意义上)。我们的结果是文献中一些早期结果的概括。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

自引率

0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.