A new order-preserving average function on a quotient space of strictly monotone functions and its applications

被引：0

作者：

Yasuo Nakasuji

Sin-Ei Takahasi

机构：

[1] The Open University of Japan,

[2] Toho University,undefined

来源：

Journal of Inequalities and Applications | / 2014卷

关键词：

Jensen’s inequality; strictly monotone function; order-preserving average function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce an order in a quotient space of strictly monotone continuous functions on a real interval and show that a new average function on this quotient space is order-preserving. We also apply this new order-preserving function to derive a finite form of Jensen type inequality with negative weights.

引用

共 7 条

[1] A new order-preserving average function on a quotient space of strictly monotone functions and its applications
Nakasuji, Yasuo
Takahasi, Sin-Ei
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[2] ORDER-PRESERVING FUNCTIONS - APPLICATIONS TO MAJORIZATION AND ORDER STATISTICS
MARSHALL, AW
WALKUP, DW
WETS, RJB
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1967, 23 (03) : 569 - &
[3] Order-preserving nonparametric regression, with applications to conditional distribution and quantile function estimation
Hall, P
Müller, HG
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2003, 98 (463) : 598 - 608
[4] REPRESENTATION OF A PREORDER ON A TOPOLOGICAL SPACE BY A COUNTABLE FAMILY OF UPPER SEMICONTINUOUS ORDER-PRESERVING FUNCTIONS
Bevilacqua, Paolo
Bosi, Gianni
Zuanon, Magali
[J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 17 (05): : 417 - 427
[5] New constructions of semi-t-operators on bounded lattices by order-preserving functions
Zhang, Yi-Qun
Wang, Ya-Ming
Liu, Hua-Wen
[J]. FUZZY SETS AND SYSTEMS, 2023, 473
[6] A New Twist on the Generalized Marcum Q-Function ITQMITab with Fractional-Order M and Its Applications
Annamalai, A.
Tellambura, C.
Matyjas, John
[J]. 2009 6TH IEEE CONSUMER COMMUNICATIONS AND NETWORKING CONFERENCE, VOLS 1 AND 2, 2009, : 241 - +
[7] A new operational matrix of derivative for hybrid third kind Chebyshev polynomials and Block-pulse functions and its applications in solving second-order differential equations
Jafari, R.
Ezzati, R.
Maleknejad, K.
[J]. TBILISI MATHEMATICAL JOURNAL, 2021, 14 (01) : 163 - 179

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