Zobrazeno 1 - 10
of 62
pro vyhledávání: '"HUAN-NAN SHI"'
Publikováno v:
Contributions to Mathematics, Vol 6, Pp 21-24 (2022)
Externí odkaz:
https://doaj.org/article/bf735857fc2548358db0dc32f8f5a3c0
Publikováno v:
Results in Nonlinear Analysis, Vol 4, Iss 4, Pp 235-243 (2021)
By transferring the judgment of convex functions of several variables into the judgment of convex functions of one variable, the authors discuss the convexity of some convex functions of several variables.
Externí odkaz:
https://doaj.org/article/ec4f61c71fc84e11bf7346e26cc174d1
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are establishe
Externí odkaz:
https://doaj.org/article/d7eb1f251fa7489ea32a95cdc1724dfc
Publikováno v:
Axioms, Vol 11, Iss 12, p 681 (2022)
The results of Schur convexity established by Elezovic and Pecaric for the average of convex functions are generalized relative to the case of the means for two-variable convex functions. As an application, some binary mean inequalities are given.
Externí odkaz:
https://doaj.org/article/8fec452936ee42abaa9e3dfc9da8d9bc
Autor:
Huan-Nan Shi, Wei-Shih Du
Publikováno v:
Axioms, Vol 11, Iss 6, p 279 (2022)
In this paper, the authors study new inequalities and generalizations for symmetric means and give new proofs for some known results by applying majorization theory.
Externí odkaz:
https://doaj.org/article/4dba8fc3a61e4a93bf652c89332c3cc5
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-13 (2018)
Abstract We solve an open problem on some majorization inequalities involving the cyclic moving average.
Externí odkaz:
https://doaj.org/article/f100d8768dfb4292a816b127d9b7570a
Autor:
Huan-Nan Shi, Shan-He Wu
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-11 (2018)
Abstract In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to ill
Externí odkaz:
https://doaj.org/article/1794c15e55ee4881b02e8b701a00c47b
Publikováno v:
Symmetry, Vol 13, Iss 9, p 1576 (2021)
In this paper, by applying majorization theory, we study the Schur convexity of functions related to Dunkel integral inequality. We establish some new generalized Dunkel type integral inequalities and their applications to inequality theory.
Externí odkaz:
https://doaj.org/article/93e448a47ed54167af3669784a8743f5
Autor:
Huan-Nan Shi, Wei-Shih Du
Publikováno v:
Symmetry, Vol 11, Iss 7, p 897 (2019)
In this paper, by applying the decision theorem of the Schur-power convex function, the Schur-power convexity of a class of complete symmetric functions are studied. As applications, some new inequalities are established.
Externí odkaz:
https://doaj.org/article/c9d91c4353be4b69b5c0373edb7c7287
Publikováno v:
Mathematics, Vol 7, Iss 6, p 552 (2019)
In the paper, by some methods in the theory of majorization, the authors generalize several inequalities related to multivariate geometric means.
Externí odkaz:
https://doaj.org/article/ce20ee81e29e451a9b10945c3f633c70