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引用次数: 0
摘要
摘要 本文的主要目的是为黎曼-刘维尔分数积分算子建立新的积分不等式。对于两次可微的 s- ( κ , H ) {(\kappa,H)} -凸函数,我们提出了一些与赫米特-哈达马德积分不等式相关联的新不等式。
Fractional integral inequalities for the s-(κ,H)-convex function
Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(\kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.