成果/Result
- An alternative note on the Schur-convexity of the extended mean values被引量：40收藏
- 作者：Shi H.-N. Shan-He W.U. Feng Q.I.
- 机构：Beijing Union Univ;Longyan Univ;Henan Polytech Univ
- 来源：MATHEMATICAL INEQUALITIES & APPLICATIONS 2006
- 关键词：Schur-convexity extended mean values
- Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions被引量：37收藏
- 作者：Shi, Huan-Nan Zhang, Jing
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2013
- 关键词：Schur geometric convexity Schur harmonic convexity inequality symmetric function
- Schur-convexity and Schur-geometrically concavity of Gini means被引量：32收藏
- 作者：Shi, Huan-Nan Jiang, Yong-Ming Jiang, Wei-Dong
- 机构：Beijing Union Univ;LongXi Middle Sch;Wei Hai Vocat Coll
- 来源：COMPUTERS & MATHEMATICS WITH APPLICATIONS 2009
- 关键词：Gini means Stolarsky means Schur-convexity Schur-geometric concavity Inequalities
- New proofs of Schur-concavity for a class of symmetric functions被引量：29收藏
- 作者：Shi, Huan-Nan Zhang, Jian Gu, Chun
- 机构：Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2012
- 关键词：majorization Schur-concavity inequality symmetric functions concave functions
- Two Schur-convex functions related to Hadamard-type integral inequalities被引量：19收藏
- 作者：Shi H.-N.
- 机构：Beijing Union Univ
- 来源：PUBLICATIONES MATHEMATICAE-DEBRECEN 2011
- 关键词：Schur-convex function Schur-geometrical convex function and the Schur-harmonic convex function inequality convex function Hadamard's inequality logarithmic mean power mean
- Schur Convexity of Generalized Heronian Means Involving Two Parameters被引量：15收藏
- 作者：Shi, Huan-Nan Bencze, Mihaly Wu, Shan-He Li, Da-Mao
- 机构：Longyan Univ;Beijing Union Univ;Aprily Lajos High Sch
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2008
- SCHUR-CONVEXITY, SCHUR GEOMETRIC AND SCHUR HARMONIC CONVEXITIES OF DUAL FORM OF A CLASS SYMMETRIC FUNCTIONS被引量：15收藏
- 作者：Shi, Huan-Nan Zhang, Jing
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF MATHEMATICAL INEQUALITIES 2014
- 关键词：Schur-convexity Schur geometric convexity Schur harmonic convexity inequality log-convex function symmetric functions dual form
- ON SCHUR m-POWER CONVEXITY FOR RATIOS OF SOME MEANS被引量：13收藏
- 作者：Yin, Hong-Ping Shi, Huan-Nan Qi, Feng
- 机构：Inner Mongolia Univ Nationalities;Beijing Union Univ;Tianjin Polytech Univ
- 来源：JOURNAL OF MATHEMATICAL INEQUALITIES 2015
- 关键词：Schur m-power convexity quotient mean arithmetic mean geometric mean harmonic mean
- Schur-convexity of dual form of some symmetric functions被引量：13收藏
- 作者：Shi, Huan-Nan Zhang, Jing
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2013
- 关键词：majorization Schur-convexity inequality symmetric functions dual form convex function
- A relation of weak majorization and its applications to certain inequalities for means被引量：12收藏
- 作者：Wu, Shan-He Shi, Huan-Nan
- 机构：Longyan Univ;Beijing Union Univ
- 来源：MATHEMATICA SLOVACA 2011
- 关键词：weak majorization inequality Schur-concavity elementary symmetric function power mean arithmetic mean geometric mean
- SCHUR CONVEXITY AND SCHUR-GEOMETRICALLY CONCAVITY OF GENERALIZED EXPONENT MEAN被引量：10收藏
- 作者：Li, Da-Mao Shi, Huan-Nan
- 机构：Beijing Union Univ
- 来源：JOURNAL OF MATHEMATICAL INEQUALITIES 2009
- 关键词：Generalized exponent mean monotonicity Schur-convexity Schur-geometrically concavity inequality hyperbolic function
- COMPOSITIONS INVOLVING SCHUR HARMONICALLY CONVEX FUNCTIONS被引量：9收藏
- 作者：Shi, Huan-Nan Zhang, Jing
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 2017
- 关键词：Schur harmonically convex function harmonically convex function composite function symmetric function
- Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function被引量：9收藏
- 作者：Shi, Huan-Nan Zhang, Jing Ma, Qing-Hua
- 机构：Beijing Union Univ;Beijing Union Univ;Beijing Union Univ
- 来源：SPRINGERPLUS 2016
- 关键词：Schur-convexity Schur-geometric convexity Schur-harmonic convexity Complete symmetric function
- SCHUR-HARMONIC CONVEXITY FOR DIFFERENCES OF SOME SPECIAL MEANS IN TWO VARIABLES被引量：8收藏
- 作者：Wu, Ying Qi, Feng Shi, Huan-Nan
- 机构：Inner Mongolia Univ Nationalities;Tianjin Polytech Univ;Henan Polytech Univ;Beijing Union Univ
- 来源：JOURNAL OF MATHEMATICAL INEQUALITIES 2014
- 关键词：Schur-harmonic convexity difference mean
- Two double inequalities for k-gamma and k-Riemann zeta functions被引量：7收藏
- 作者：Zhang, Jing Shi, Huan-Nan
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2014
- 关键词：majorization Schur convexity k-gamma function k-Riemann zeta function Apery's constant log-convexity
- Schur-Power Convexity of a Completely Symmetric Function Dual被引量：6收藏
- 作者：Shi, Huan-Nan Du, Wei-Shih
- 机构：Beijing Union Univ;Natl Kaohsiung Normal Univ
- 来源：SYMMETRY-BASEL 2019
- 关键词：Schur-power convexity Schur-convexity Schur-geometric convexity Schur-harmonic convexity completely symmetric function dual form
- The Schur-convexity of the mean of a convex function被引量：6收藏
- 作者：Shi, Huan-Nan Li, Da-Mao Gu, Chun
- 机构：Beijing Union Univ
- 来源：APPLIED MATHEMATICS LETTERS 2009
- 关键词：Schur-convex function Schur-concave function Inequality Hadamard's inequality Stolarsky's mean
- Laser-induced fluorescence analysis of human skin with photosensitizer被引量：5收藏
- 作者：Yu, CQ Liu, J Dou, XM Zhao, HY Fang, WJ Yuan, B
- 机构：Shanghai Jiao Tong Univ;Beijing United Univ
- 来源：SPECTROSCOPY AND SPECTRAL ANALYSIS 2003
- 关键词：skin blood photosensitizer fluorescence intensity spectral analysis
- Majorized proof and improvement of the discrete Steffensen's inequality被引量：5收藏
- 作者：Shi H.-N. Wu S.-H.
- 机构：Beijing Union Univ;Longyan Coll
- 来源：TAIWANESE JOURNAL OF MATHEMATICS 2007
- 关键词：Steffensen's inequality majorization weak majorization refinement
- SCHUR CONVEXITY OF DUAL FORM OF THE COMPLETE SYMMETRIC FUNCTION被引量：5收藏
- 作者：Zhang, Kongsheng Shi, Huannan
- 机构：Anhui Univ Finance & Econ;Beijing Union Univ
- 来源：MATHEMATICAL INEQUALITIES & APPLICATIONS 2013
- 关键词：complete symmetric function dual form Schur-convexity Schur-geometric-convexity Schur-harmonic-convexity
- Generalizations of Several Inequalities Related to Multivariate Geometric Means被引量：3收藏
- 作者：Xi, Bo-Yan Wu, Ying Shi, Huan-Nan Qi, Feng
- 机构：Inner Mongolia Univ Nationalities;Beijing Union Univ;Henan Polytech Univ;Tianjin Polytech Univ
- 来源：MATHEMATICS 2019
- 关键词：Schur convex function Schur geometrically-convex function elementary symmetric function inequality multivariate geometric mean majorization
- Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities被引量：3收藏
- 作者：Shi, Huan-Nan Wu, Shan-He
- 机构：Longyan Univ;Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2018
- 关键词：geometric Bonferroni mean Schur's condition majorization relationship inequality
- Schur-m power convexity for a mean of two variables with three parameters被引量：2收藏
- 作者：Wang, Dongsheng Fu, Chun-Ru Shi, Huan-Nan
- 机构：Beijing Vocat Coll Elect Technol;Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 2016
- 关键词：Mean of two variables Schur convexity Schur geometric convexity Schur harmonic convexity Schur-m power convexity majorization
- Compositions involving Schur geometrically convex functions被引量：2收藏
- 作者：Shi, Huan-Nan Zhang, Jing
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF INEQUALITIES AND APPLICATIONS 2015
- 关键词：Schur geometrically convex function geometrically convex function composite function symmetric function
- SCHUR-m POWER CONVEXITY OF CAUCHY MEANS AND ITS APPLICATION被引量：2收藏
- 作者：Wang, Dong-Sheng Fu, Chunru Shi, Huannan
- 机构：Beijing Vocat Coll Elect Technol;Beijing Union Univ;Beijing Union Univ
- 来源：ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 2020
- 关键词：Schur-m power convexity Cauchy mean majorization exponential mean
- Schur-Convexity for Elementary Symmetric Composite Functions and Their Inverse Problems and Applications被引量：2收藏
- 作者：Zhang, Tao Chen, Alatancang Shi, Huannan Saheya, B. Xi, Boyan
- 机构：Inner Mongolia Normal Univ;Ctr Appl Math Sci;Beijing Union Univ;Inner Mongolia Univ Nationalities
- 来源：SYMMETRY-BASEL 2021
- 关键词：symmetric function Schur-convexity inequality special means
- Schur Convexity of Mixed Mean of n Variables Involving Three Parameters被引量：1收藏
- 作者：Wang, Dong-Sheng Shi, Huan-Nan Fu, Chun-Ru
- 机构：Beijing Polytech;Beijing Union Univ;Beijing Union Univ
- 来源：FILOMAT 2020
- 关键词：mixed mean of n variables Schur convexity Schur geometric convexity Schur harmonic convexity majorization inequalities
- Schur-Convexity of the Mean of Convex Functions for Two Variables被引量：1收藏
- 作者：Shi, Huan-Nan Wang, Dong-Sheng Fu, Chun-Ru
- 机构：Beijing Union Univ;Basic Courses Dept;Beijing Union Univ
- 来源：AXIOMS 2022
- 关键词：inequality Schur-convex function Hadamard's inequality convex functions of two variables mean
- MULTI-PARAMETER GENERALIZATION OF RADO-POPOVICIU INEQUALITIES被引量：0收藏
- 作者：Zhang, Jing Shi, Huan-Nan
- 机构：Beijing Union Univ;Beijing Union Univ
- 来源：JOURNAL OF MATHEMATICAL INEQUALITIES 2016
- 关键词：Rado's inequality Popoviciu's inequality majorization Schur-concavity symmetric function dual form convex function
- New Inequalities and Generalizations for Symmetric Means Induced by Majorization Theory被引量：0收藏
- 作者：Shi, Huan-Nan Du, Wei-Shih
- 机构：Beijing Union Univ;Natl Kaohsiung Normal Univ
- 来源：AXIOMS 2022
- 关键词：majorization inequality log-concave sequence symmetric function symmetric mean
