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A Note on the Interior operator of Induced Spaces

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Chinese Science Bulletin 1993年第5期38卷 437-438页

作者：王戈平 Department of Mathematics Xuzhou Teachers' College Xuzhou 221009 PRC

We characterized in Theorem 3.4 of [1] the closure and interior operators of induced spaces introduced by Lowen. The author of [2] proposed an open problem: Can Theorem 3.4 in [1] be generalized to lattice value induced spaces? As a main result of [3] the problem was partly solved as: Theorem. Let (L^x, ω(τ)) be an induced space generated by a crisp topology τ.

关键词： operator operators closure interior topology crisp partly argument analogous letter

On a Linear Combination of Grünwald Polynomial operator

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数学进展 1998年第2期 92-93页

作者：何甲兴,杨光

Ｉｔｉｓｋｎｏｗｎｔｈａｔｏｎｅｏｆｔｈｅｂａｓｉｃｐｒｏｂｌｅｍｓｏｆａｐｐｒｏｘｉｍａｔｉｏｎｔｈｅｏｒｙｉｓｈｏｗｔｏｗｏｒｋｏｕｔａｓｅｑｕｅｎｃｅｏｆｐｏｌｙｎｏｍｉａｌｓｏｆｄｅｇｒｅｅｎ，ｓｕｃｈｔｈａ... 详细信息

Ｉｔｉｓｋｎｏｗｎｔｈａｔｏｎｅｏｆｔｈｅｂａｓｉｃｐｒｏｂｌｅｍｓｏｆａｐｐｒｏｘｉｍａｔｉｏｎｔｈｅｏｒｙｉｓｈｏｗｔｏｗｏｒｋｏｕｔａｓｅｑｕｅｎｃｅｏｆｐｏｌｙｎｏｍｉａｌｓｏｆｄｅｇｒｅｅｎ，ｓｕｃｈｔｈａｔｔｈｅｉｒｃｏｎｖｅｒｇｅｎｃｅ...

关键词： operator Gr Linear On Combination Polynomial nwald of

1D-IMAGING OF VELOCITY FOR ACOUSTIC WAVES WITH MUL TI-SCALE operator

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Journal of Central South University 1995年第2期7卷 12-15页

作者： Song Shougen Institute of Applied Geophysics Central South University of Technology Changsha 410083 China

Based on the one-dimension wave equation and multi-scale operator, the method of imaging of wave velocity is presented. Our method in this paper can suppress the noise in the real world data, and analyse the effects o... 详细信息

关键词： imaging of velocity wave equation multi-scale operator

WAVELET ALGORITHM FOR INTEGRAL operator EQUATION AND ITS APPLICATIONS TO ELECTROMAGNETIC PROBLEMS

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Journal of Electronics(China) 1995年第3期12卷 211-221页

作者：宋玉明方大纲 Millimeter Wave Technique Laboratory Nanjing University of Science & Technology Nanjing 210094Millimeter Wave Technique Laboratory Nanjing University of Science & Technology Nanjing 210094

A brief summary of the basic theory of wavelet is proposed. The properties of wavelet function are discussed. The possible applications of wavelet to electromagnetics are given. Examples show that the wavelet method i... 详细信息

关键词： Wavelet theory Wavelet transform Integral operator equation Electromagnetic problems

BOUNDARY SOLUTIONS OF operator EQUATIONS IN PARIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONAL

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Systems Science and Mathematical Sciences 1998年第1期11卷 9-17页

作者： ZHAO Zengqin XIE Shuheng(Department of Mathematics, Qufu Normal University, Qufu 273165, China)

In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering *** do not assume any topological structure or algebraic structure on the partial orderingsets. The quasi-order completeness of the ranges on Akik, Bkjk (ik = 1, 2,... mk,jk =1, 2,’’’ nk) is the main condition in the theorems. We discuss the quasi-order completesets in some concrete spaces. As corollaries, we obtain some new coupled fixed point resultsfor mixed monotone operators. Lastly the conclusions are applied to a system of functionalequations arising in dyntaic programming.

关键词： Partial ordering set system of operator equati0ns boundary solution.

Weighted φ──Inequalities for Generalized Hardy operator

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Chinese Quarterly Journal of Mathematics 1995年第1期10卷 13-20页

作者：刘岚

In this paper, the conditions on pairs of weights (u,v) are given such that for the generalized Hardy operator Tf(x) = K(x,y)f(y) dy the following Φ-inequality holds: Φ-12( Φ2(Tf(x))V(x)dx≤CΦ-11( Φ1(f(x))U(x)... 详细信息

关键词： Hardy operator Young function Φ-inequality

A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT operator IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS

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Systems Science and Mathematical Sciences 1992年第2期5卷 97-107页

作者： SONG Degong WANG Miansen (Department of Mathematics,Xi’an Jiaotong University,Xi’an 710049,China)ZHU Guangtian (Institute of Systems Science,Academia Sinica,Beijing 100080,China)

The spectrum of neutron transport operator A in an arbitrary non-homogeneous slab geometry is discussed in consideration of anisotropic scatteringand *** the assumptions that the boundary reflection coefficient func-tion α（v,μ）,γ（v,μ）and the scattering-fission kernel k（x,v,v′,μ,μ′）are boundedmeasurable,and the total collision frequency v∑（x,v）is square integrable,it isshown that A has at most finite spectrum points in any strip{λ=β+i（?）|β1（?）β（?）β2},where β2>β1>-λ*,with λ* the essential infimum of v∑（x,v）.Fi-nally,the asymptotic expansion of the solution for the time-dependent equation（dN）/（dt）=AN,N（0）=N0 is given as a corollary.

关键词： Neutron transport operator slab geometry generalized boundary conditions spectrum asymptotic expansion

AN EMBEDDING operator FOR FUZZY NUMBER SPACE E^1 AND ITS APPLICATION FOR FUZZY INTEGRAL

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Systems Science and Mathematical Sciences 1990年第3期3卷 193-199页

作者：吴从炘马明 Department of Mathematics Harbin Institute of TechnologyHarbinChina

In this paper,we give an order-preserving,isometric and isomorphic embeddingoperator from the fuzzy number space E^1 to a classical Banach space and show some necessary andsufficient integrability conditions of fuzzy ... 详细信息

关键词： Fuzzy number embedding operator fuzzy integral

Hermite-Hadamard Type Inequalities for operator h-preinvex Functions

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Communications in Mathematical Research 2019年第2期35卷 180-192页

作者： Lian Tie-yan Tang Wei Ji You-qing College of Arts and Sciences Shaanxi University of Science and Technology Xi'an 710021 College of Electrical and Information Engineering Shaanxi University of Science and Technology Xi'an 710021 不详

operator h-preinvex functions are introduced and a refinement of HermiteHadamard type inequalities for such functions is established. Results proved in this paper are more general and some known results are special ca... 详细信息

关键词： Hermite-Hadamard's integral inequality operator h-preinvex function operator beta-preinvex function