caa a22 4500 605468656 CHVBK 20210128100317.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00500-014-1578-0 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1578-0 On Cauchy-Schwarz's inequality for Choquet-like integrals without the comonotonicity condition [Elektronische Daten] [Hamzeh Agahi, Radko Mesiar] Cauchy-Schwarz's inequality is one of the most important inequalities in probability, measure theory and analysis. The problem of finding a sharp inequality of Cauchy-Schwarz type for Sugeno integral without the comonotonicity condition based on the multiplication operator has led to a challenging and an interesting subject for researchers. In this paper, we give a Cauchy-Schwarz's inequality without the comonotonicity condition based on pseudo-analysis for two classes of Choquet-like integrals as generalizations of Choquet integral and Sugeno integral. In the first class, pseudo-operations are defined by a continuous strictly increasing function $$g$$ g . Another class concerns the Choquet-like integrals based on the operator " $$\sup $$ sup ” and a pseudo-multiplication $$\otimes $$ ⊗ . When working on the second class of Choquet-like integrals, our results give a new version of Cauchy-Schwarz's inequality for Sugeno integral without the comonotonicity condition based on the multiplication operator. Springer-Verlag Berlin Heidelberg, 2015 Monotone probability nationallicence Choquet expectation nationallicence Sugeno integral nationallicence Choquet-like integrals nationallicence Cauchy-Schwarz's inequality nationallicence Hölder's inequality nationallicence Pseudo-analysis nationallicence Agahi Hamzeh Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran aut Mesiar Radko Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81368, Bratislava, Slovakia aut Soft Computing Springer Berlin Heidelberg 19/6(2015-06-01), 1627-1634 1432-7643 19:6<1627 2015 19 500 https://doi.org/10.1007/s00500-014-1578-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1578-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Agahi Hamzeh Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran aut NATIONALLICENCE 700 1- Mesiar Radko Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81368, Bratislava, Slovakia aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/6(2015-06-01), 1627-1634 1432-7643 19:6<1627 2015 19 500