Results 61 to 70 of about 50,520 (161)
Schur convex functions on the spectra of graphs
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 ...
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Schur-Convexity of Two Types of One-Parameter Mean Values in n Variables
Journal of Inequalities and Applications, 2007 We establish Schur-convexities of two types of one-parameter mean values in n variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.
Xiao-Ming Zhang +2 more
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Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
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Complexity, 2018 Based on the Lyapunov stability theory, this paper mainly investigates the H∞ synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs).
Mengping Xing, Hao Shen, Zhen Wang
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Skew shapes, Ehrhart positivity, and beyond
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni +2 more
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Optimization of Schur-convex functions [PDF]
Mathematical Inequalities & Applications, 1998 The author shows that Schur-convex functions share some important properties with convex functions: in particular, basic properties of convex functions about extreme values that have been used widely in theoretical and applied mathematics. Examples of Schur-convex functions are constructed and some inequalities for them are established, including as ...
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The Schur transform of a generalized Schur function and operator realizations [PDF]
, 2005 Het proefschrift van Gerald Wanjala bouwt voort op werk van de wiskundige Issai Schur uit het begin van de vorige eeuw. Destijds vormde dit het beginpunt van een nieuw onderdeel in de wiskunde: de Schur-analyse.
Wanjala, Gerald, +3 more
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Necessary and sufficient conditions for a bivariate mean of three parameters to be the Schur $m$-power convex [PDF]
Contributions to Mathematics, 2022 Hong-Ping Yin +3 more
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Schur-convexity of the complete elementary symmetric function
Journal of Inequalities and Applications, 2006 We prove that the complete elementary symmetric function and the function are Schur-convex functions in , where are nonnegative integers, , . For which, some inequalities are established by use of the theory of majorization. A problem given by K.
Guan Kaizhong
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A Unified Majorization Approach to Extremal General Zeroth-Order Randić Indices
MathematicsThe general zeroth-order Randić index Rα0(G)=∑v∈Vd(v)α (α≠0,1) unifies several classical indices, including the first Zagreb (α=2), forgotten (α=3), and inverse degree (α=−1) indices.
Darko Dimitrov
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