Results 11 to 20 of about 258,824 (188)
Results in Mathematics, 2020 AbstractWe introduce and examine the notion ofT-Schur convexity which is naturally connected with Schur convexity. As a particular case, we considerT-Wright convex maps which generalize a well-known and intensively investigated class oft-Wright convex functions. We discuss several properties of this class of functions.
Andrzej Olbryś, Tomasz Szostok
openaire +4 more sources
Schur-Convexity of Averages of Convex Functions [PDF]
Journal of Inequalities and Applications, 2011 The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results.
Franjić Iva +3 more
doaj +4 more sources
Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications [PDF]
Abstract and Applied Analysis, 2014 We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
doaj +2 more sources
Schur convex functions on the spectra of graphs [PDF]
Discrete Mathematics, 1983 AbstractMajorization on the spectra of graphs is shown to be preserved under several operations, including addition, multiplication and complementation of graphs. The graph obtained by the removal of k disjoint edges from the complete graph on n vertices is shown to minimize all Schur-convex functions defined on the (Kirchoff) spectra of graphs, over ...
Constantine, Gregory M.
openaire +2 more sources
Notes on the Schur-convexity of the Extended Mean Values [PDF]
, 2002 In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the ...
Qi, Feng +3 more
core +6 more sources
Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function [PDF]
SpringerPlus, 2016 In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
Shi, Huan-Nan, Zhang, Jing, Ma, Qing-Hua
openaire +5 more sources
Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core +6 more sources
Schur-Convexity of Čebišev Functional [PDF]
Mathematical Inequalities & Applications, 2011 In this paper the Čebišev functional T ( f, g ; a, b) is regarded as a function of two variables T ( f, g ; x, y), (x, y) ∈ [a, b]× [a, b]. The property of Schur-covexity (Schur-concavity) of this function is considered. Some applications for the means are pointed out.
Čuljak, Vera, Pečarić, Josip
openaire +2 more sources
The Extended Mean Values: Definition, Properties, Monotonicities, Comparison, Convexities, Generalizations, and Applications [PDF]
, 2001 The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of inequalities, and even in the whole mathematics, since many norms in mathematics are always means.
Qi, Feng
core +6 more sources
Schur-convexity, Schur geometric and Schur harmonic convexities of dual form of a class symmetric functions [PDF]
Journal of Mathematical Inequalities, 2014 By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic con- vexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones.
Huan-Nan Shi, Jing Zhang
openaire +1 more source