Berwald-type inequalities for Sugeno integral with respect to \({ ( {\alpha,m,r} )_{g}}\) -concave functions

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• 作者：Dong-Qing Li ; Yu-Hu Cheng ; Xue-Song Wang…
• 关键词：03E72 ; 28B15 ; 28E10 ; 26D10 ; Berwald ; type inequality ; Sugeno integral ; ( α ; m ; r ) g $( {\alpha ; m ; r} )_{g}$ ; concave function
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,669 KB
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• 作者单位：Dong-Qing Li (1)
  Yu-Hu Cheng (1)
  Xue-Song Wang (1)
  Xue Qiao (1)
  
  1. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

In this paper, we introduce the concept of an \({ ( {\alpha,m,r} )_{g}}\)-concave function as a generalization of a concave function. Then we establish Berwald-type inequalities for the Sugeno integral based on this kind of functions. Our work generalizes the previous results in the literature. Finally, we give some conclusions and problems for further investigations. Keywords Berwald-type inequality Sugeno integral \(( {\alpha,m,r} )_{g}\)-concave function