数学系

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杨秀忠

发布时间:2015-10-14   浏览次数:0

教学情况:
主讲本科生课程:《数学分析》,《复变函数》,《实变函数》,《泛函分析》等。
主讲研究生课程:《泛函分析》,《Banach 空间几何理论》,《几何泛函分析及其应用》,《拓扑向量空间》,《函数方程的稳定性》,《函数方程与不等式》等。
精品课建设项目: 作为主讲教师完成河北省精品课程《数学分析》建设。    

科研情况:
1:科研项目:
1. 作为主持人正在承担教育厅自然科学重点基金一项(ZD2016023)。
2. 作为主研人正在承担国家自然科学基金项目一项(11371119)。
3. 作为主研人正在承担教育厅自然科学基金项目一项(Z2014031)。
4. 作为主研人参加并完成国家自然科学基金面上项目(10571090)一项,教育部高等学校博士学科点专项基金一项(20060055010),河北省自然科学基金两项(08M001和A2010000351),省教育厅重点基金一项(ZD200904).
2:公开发表学术论文代表作:
[1] G. Liu, X. Yang*, Approximation for a generalization of Bernstein operators, J. Inequal. Appl., 2016, 2016:204. 10 pages. (SCI) (通讯作者).
[2] X. Yang, J. Ma, and G. Liu, On the stability of alternative additive equations in multi-β- normed spaces, J. Funct. Spaces, Volume 2016, Article ID 2534597, 7 pages. (SCI)
[3] X. Yang, On the stability of quadratic functional equations in F-spaces, J. Funct. Spaces, Volume 2016, Article ID 5636101, 7 pages. (SCI)
[4] X. Yang, G. Shen, and G. Liu, On the stability of the functional equation in matrix normed spaces, Journal of Mathematical Research with Applications, 2016, Vol. 36, No.3, 328–340.
[5] S. Guo, G. Liu, and X. Yang, Strong converse inequality for left Bernstein-Durrmeyer quasi-interpolants,  J. Inequal. Appl., 2015, 2015:112. (SCI)
[6] G. Liu, X. Yang, On the Ulam stability of quadratic functional equations in β-normed spaces, 河北师大学报自然科学版, 2015, 39(104) :473-477.
[7] X. Yang, G. Shen, G. Liu, and L. Chang, The Hyers-Ulam-Rassias stability of the quartic functional equation in fuzzy β-normed spaces,J. Inequal. Appl., 2015, 2015:342. (SCI)
[8] X. Yang, L. Chang, G. Liu, and G. Shen, Stability of functional equations in (n, β)-normed spaces, J. Inequal. Appl., 2015, 2015:112.(SCI)
[9] X. Yang, L. Chang, G. Liu, Orthogonal stability of mixed additive-quadratic Jensen type functional equation in multi-Banach spaces, Advances in Pure Mathematics , 2015, 5 :325-332.
[10] G. Liu, X. Yang*, On the approximation for generalized  Szász-Durrmeyer type operators in the space Lp[0,∞), J. Inequal. Appl., 2014, 2014:447.(SCI) (通讯作者).
[11] X. Yang, X. Zhao, On the extension problems of isometric and nonexpansive mappings,Mathematics Without Boundaries: Surveys in Pure Mathematics, 2014, Springer, New York.
[12] X. Zhao, X. Yang, On the stability of the Pexiderized sine functional equation, Nonlinear Analysis, 2012, 861-873, Springer Optim. Appl. 68, Springer, New York.
[13] X. Zhao, X. Yang, and C.-T. Pang, Solution and stability of the multiquadratic functional equation, Abstract and Applied Analysis, Volume 2013, Article ID 415053, 8 pages. (SCI)
[14] X. Zhao, X. Yang, and C.-T. Pang, Solution and stability of a general mixed type cubic and quartic functional equation, J. Funct. Spaces Appl., 2013, Art. ID 673810, 8 pp. (SCI)
[15] X.Yang, On extension of isometries between unit spheres of Lp_(μ) and Lp(ν,H)( 1<p?2, H is a Hilbert space), J.Math. Anal.Appl.,2006,323:985-992.(SCI)
[16] 杨秀忠,单位球面上的等距及 (λ,ψ,2)-等距映射的延拓, 数学学报,2006, 49(6):1397-1402.
[17]杨秀忠,赋β-范空间中单位球面上的等距及 (λ,k,2)-等距算子的延拓. 系统科学与数学,2006,26(6):641-646.
[18]杨秀忠等,赋β-范空间中单位球面间的等距算子的线性延拓,  数学学报, 2005,  48 (6):  1199-1202.