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REFINEMENTS OF THE NORM OF TWO ORTHOGONAL PROJECTIONS
《Acta Mathematica Scientia》2024年第4期1229-1243,共15页Xiaohui LI Meiqi LIU Chunyuan DENG 
In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm ineq...
关键词:NORM orthogonal projection positive operator SPECTRAL block operator valued matrix 
FIXED/PREASSIGNED-TIME SYNCHRONIZATION OF QUATERNION-VALUED NEURAL NETWORKS INVOLVING DELAYS AND DISCONTINUOUS ACTIVATIONS: A DIRECT APPROACH
《Acta Mathematica Scientia》2023年第3期1439-1461,共23页魏琬璐 胡成 于娟 蒋海军 
supported by the National Natural Science Foundation of China (61963033, 61866036, 62163035);the Key Project of Natural Science Foundation of Xinjiang (2021D01D10);the Xinjiang Key Laboratory of Applied Mathematics (XJDX1401);the Special Project for Local Science and Technology Development Guided by the Central Government (ZYYD2022A05)。
The fixed-time synchronization and preassigned-time synchronization are investigated for a class of quaternion-valued neural networks with time-varying delays and discontinuous activation functions. Unlike previous ef...
关键词:fixed-time synchronization preassigned-time synchronization quaternion-valued neural networks discontinuous activation direct analysis method 
TENSOR SUM AND DYNAMICAL SYSTEMS
《Acta Mathematica Scientia》2014年第6期1935-1946,共12页D.SENTHILKUMAR P.CHANDRA KALA 
In this paper we introduce the concept of tensor sum semigroups. Also we have given the examples of tensor sum operators which induce dynamical system on weighted locally convex function spaces.
关键词:tensor sum composition operators multiplication operator dynamical systems seminorm operator valued mapping 
AN INEQUALITY ON THE ZEROS AND POLES OF VECTOR VALUED MEROMORPHIC FUNCTIONS被引量:1
《Acta Mathematica Scientia》2014年第2期380-386,共7页吴昭君 
supported by the National Natural Science Foundation of China(11201395);supported by the Science Foundation of Educational Commission of Hubei Province(Q20132801)
The author proves that if f : C → C^n is a transcendental vector valued mero-morphic function of finite order and assume, This result extends the related results for meromorphic function by Singh and Kulkarni.
关键词:Characteristic function vector valued meromorphic function ZERO POLE 
DOUBLE Φ-INEQUALITIES FOR BANACH-SPACE-VALUED MARTINGALES
《Acta Mathematica Scientia》2012年第4期1627-1636,共10页王迎占 张超 侯友良 
supported by the National Natural Science Foundation of China (11071190)
Let B be a Banach space, φ1, φ2 be two generalized convex φ-functions and φ1, φ2 the Young complementary functions of ψ1, ψ2 respectively with∫t t0ψ2(s)/sds≤ds≤c0ψ1(c0t)(t〉t0)for some constants co ...
关键词:MARTINGALE convex O-inequality martingale transform weighted average 
ON ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF RANDOM ELEMENT SEQUENCES
《Acta Mathematica Scientia》2010年第4期1021-1028,共8页甘师信 
Supported by the National Natural Science Foundationof China (10671149)
We mainly study the almost sure limiting behavior of weighted sums of the form ∑ni=1 aiXi/bn , where {Xn, n ≥ 1} is an arbitrary Banach space valued random element sequence or Banach space valued martingale differen...
关键词:Strong law of large number almost sure convergence Lp convergence weighted sums Banach space valued random element sequence Banach space martingale difference sequence 
ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS被引量:1
《Acta Mathematica Scientia》2010年第3期1004-1012,共9页杨燕 钱涛 
sponsored by the National Natural ScienceFunds for Young Scholars (10901166);the Scientific Research Foundation for the Youth Scholars of Sun Yat-SenUniversity;the Research Grant of University of Macao on Applications of Hyper-Complex Analysis (cativo:7560)
In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes: the real isolated zeroes and the spherical conjuga...
关键词:Clifford algebra zeroes of polynomials 
GENERALIZED ROSENTHAL'S INEQUALITY FOR BANACH-SPACE-VALUED MARTINGALES被引量:5
《Acta Mathematica Scientia》2009年第2期305-312,共8页于林 
Supported by the Scientific Research Foundation of Hubei Province (D200613001);the National Natural Science Foundation of China (10371093)
A generalized Rosenthal's inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexi...
关键词:Rosenthal's inequality Ф-inequality MARTINGALES p-uniform smoothness q-uniform convexity 
ASYMPTOTIC EXPANSION OF DIRAC-TYPE DISTRIBUTION ASSOCIATED WITH A CLASS OF HYPERSURFACES WITH DEGENERATED CRITICAL POINTS被引量:1
《Acta Mathematica Scientia》1999年第2期127-137,共11页齐民友 张果平 
National Natural Science Foundation of China
In order to generalize Hadamard's theory of fundamental solutions to the case of degenerate holomorphic PDE, this paper studies the asymptotic expansion of Dirac-type distribution associated with a class of hypersurfa...
关键词:asymptotic expansion degenerate critical point HYPERSURFACE distribution-valued meromorphic function analytic extension 
ON THE EXISTENCE OF SOLUTIONS TO D'-VALUED STOCHASTIC DIFFERENTIAL EQUATIONS INVOLVING EVOLUTION DRIFT
《Acta Mathematica Scientia》1995年第S1期91-102,共12页吴奖伦 
In this paper, nonstandard analysis is employed to present an existence theory of -valued stochastic differential equations involving evolution drift. And (C0, 1)-evolution systems are also defined and investigated on...
关键词:Calibration (C0 1)-evolution system Stable family Stochastic differential Equations of It type two Loeb spaces Nonstandard analysis 
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