Result: Some properties of a generalized Hamy symmetric function and its applications
Title:
Some properties of a generalized Hamy symmetric function and its applications
Authors:
Source:
Journal of mathematical analysis and applications. 376(2):494-505
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 27 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Combinatoire algébrique, Algebraic combinatorics, Analyse mathématique, Mathematical analysis, Fonctions d'une variable complexe, Functions of a complex variable, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse fonctionnelle, Functional analysis, Analyse mathématique, Mathematical analysis, Análisis matemático, Monotonie, Monotonicity, Monotonía, 05E05, 30Gxx, 32Fxx, 46Fxx, Convexité géométrique, Geometric convexity, Convexity, Hamy symmetric function, Inequality, Schur-convexity
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Research Institute of Mathematics, University of South China, Hengyang, Hunan 421001, China
School of Urban Construction, University of South China, Hengyang, Hunan 421001, China
School of Urban Construction, University of South China, Hengyang, Hunan 421001, China
ISSN:
0022-247X
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23927470
Database:
PASCAL Archive
Further Information
This paper is concerned with the generalized Hamy symmetric function where ∫ is a positive function defined in a subinterval of (0, +oo). Some properties, including Schur-convexity, geometric Schur-convexity and harmonic Schur-convexity are investigated. As applications, several inequalities are obtained, some of which extend the known ones.