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数学研究及应用
数学研究及应用

王仁宏

双月刊

2095-2651

jmre@dlut.edu.cn

0411-84707392

116024

大连理工大学应用数学系

数学研究及应用/Journal Journal of mathematical research with applicationsCSCD北大核心CSTPCD
查看更多>>本刊是国家教育部主管、大连理工大学主办的数学类学术性刊物。其宗旨是推进数学研究、评论数学研究、及时报道数学理论成果与应用数学成果。主要刊载有关数学的原创性的高质量的论文、研究简报、研究通讯；国内外数学著作的评论；数学方法论、数理哲学方面的文章。还介绍某些新兴边缘学科的数学研究方法及数学新分支，反映国内外数学工作者提出的未解决问题及国内外重要数学学术研究动态。读者对象是数学工作者、大专院校数学教师、理工科研究生、数学和力学专业高年级学生、有关科技工作者以及其他数学爱好者。
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    Gabor Analysis on Finite Product of Cyclic Groups

    Jineesh THOMASN.M.Madhavan NAMBOOTHIRIAjo JOSE
    521-532页
    查看更多>>摘要：We present a complete characterization of Gabor frame operators on finite dimen-sional Hilbert space L2(Γ),where Γ=(Z)m1 ×(Z)m2 × … ×(Z)mp and m1,m2,...,mp are positive integers.The notion of generalized B-modulation and generalized B-translation is introduced and some significant properties of the generalized pseudo B-Gabor like frames are discussed.
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    Maps Preserving Semi-Fredholm Operators with Fixed Nullity

    Mengran NIWeijuan SHI
    533-540页
    查看更多>>摘要：Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n ≥ 1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fredholm operators with nullity equal to n in both directions,and establish the structure of the given maps.
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    Sample Path Large Deviations for Independent Random Variables under Sub-Linear Expectations

    Mingzhou XU
    541-550页
    查看更多>>摘要：In this work,the sample path large deviations for independent,identically distributed random variables under sub-linear expectations are established.The results obtained in sub-linear expectation spaces extend the corresponding ones in probability space.
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    Construction of Bézier-like Curves with Energy Constraints

    Yongxia HAOHongyang LUO
    551-568页
    查看更多>>摘要：In this paper,we present a class of novel Bernstein-like basis functions,which is an extension of classical Bernstein basis functions.The properties of this group of bases are analyzed and the Bézier-like curve with two shape parameters h1,h2 is defined.The basis functions and Bézier-like curves have properties similar to cubic Bernstein basis functions and cubic Bézier curves,respectively.Furthermore,we construct Bézier-like curves with energy constraints and consider the C1 and G1 Hermite interpolation with minimal energy.Finally,some representative examples show the applicability and effectiveness of the proposed method.
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    Journal of Mathematical Research with Applications Guide for Authors

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