In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,...In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,b), λ ∈ Λ [0,∞),(0.1)are given. Here f belongs to the function space L_1( <a,b >~2), where <a,b> is an arbitrary interval in R. In this paper three theorems are proved, one for existence of the operator(T_λf)(x, y) and the others for its Fatou-type pointwise convergence to f(x_0, y_0), as(x,y,λ) tends to(x_0, y_0, λ_0). In contrast to previous works, the kernel functions K_λ(u,v)don't have to be 2π-periodic, positive, even and radial. Our results improve and extend some of the previous results of [1, 6, 8, 10, 11, 13] in three dimensional frame and especially the very recent paper [15].展开更多
In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team...In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team with double-qualified instructors majored in software engineering.Specifically,the integration of production and education are carried out in three stages,i.e.,enterprise cooperation courses,enterprise internship,and graduation design(internship),by taking the software engineering major of the School of Information and Software Engineering of the University of Electronic Science and Technology of China as a case study.展开更多
文摘In this paper, some approximation formulae for a class of convolution type double singular integral operators depending on three parameters of the type(T_λf)(x, y) = ∫_a^b ∫_a^b f(t, s)K_λ(t-x,s-y)dsdt, x,y ∈(a,b), λ ∈ Λ [0,∞),(0.1)are given. Here f belongs to the function space L_1( <a,b >~2), where <a,b> is an arbitrary interval in R. In this paper three theorems are proved, one for existence of the operator(T_λf)(x, y) and the others for its Fatou-type pointwise convergence to f(x_0, y_0), as(x,y,λ) tends to(x_0, y_0, λ_0). In contrast to previous works, the kernel functions K_λ(u,v)don't have to be 2π-periodic, positive, even and radial. Our results improve and extend some of the previous results of [1, 6, 8, 10, 11, 13] in three dimensional frame and especially the very recent paper [15].
基金This work was supported by the Research and Practice of School-enterprise Collaborative Construction of Double Qualified Teachers in Software Engineering“Construction of Double Qualified Teachers in Software Engineering Based on Enterprise and School Cooperation”(Grant No.2020CJ01)the Fundamental Research Funds for the Central Universities of UESTC(Policy Research)“The System Construction of Ideological and Political Education under Training of Excellent Engineer”(Grant No.ZYGX2020ZCYJ027).
文摘In order to solve the problem of insufficient integration of school-enterprise supervisors in the current school-enterprise cooperation model,this article introduces the ideas and results of the construction of a team with double-qualified instructors majored in software engineering.Specifically,the integration of production and education are carried out in three stages,i.e.,enterprise cooperation courses,enterprise internship,and graduation design(internship),by taking the software engineering major of the School of Information and Software Engineering of the University of Electronic Science and Technology of China as a case study.
