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For each ˉeld k, we deˉne a category of rationally decomposed mixed
motives with Z-coe±cients. When k is ˉnite, we show that the category is Tannakian, and we prove formulas relating the behaviour of...
On a particular integral operator
Complex Variables Integral operator Weighted composition operator
2012/4/16
We consider an integral operator $\mathcal{I}$, special instances of which was studied in various contexts. Using an appropriate transformation we write this operator in terms of weighted composition ...
Analytical Evaluation Of An Infinite Integral Over Four Spherical Bessel Functions
Analytical Evaluation Infinite Integral Four Spherical Bessel Functions
2011/3/1
Infinite integrals over spherical Bessel functions have always been of interest due to their occurence in nuclear physics [1-10], particle physics [11] and astrophysics [12-13],to mention a few.
Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jacob's ladders Bessel's functions the asymptotic solutions
2010/11/19
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...
BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals
Bounded variation functions Radon measures Relaxation Duality Integral representation
2009/1/22
We introduce and study the space of bounded variation functions with respect to a Radon measure $\mu$ on $\mathbb{R}^N$ and to a metric integrand $\varphi$ on the tangent bundle to $\mu$. We show that...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...
An Integral Inequality for 3-Convex Functions
Chebyshev functional Convex functions Integral inequality
2010/1/22
In this paper, an integral inequality and an application of it, that imply the Chebyshev functional for two 3-convex (3-concave) functions, are given.
A Relation to Hilbert's Integral Inequality and Some Base Hilbert-type Inequalities
Base Hilbert-type integral inequality Parameter Weight function
2010/1/25
In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert's in...
$p$-valent Meromorphic Functions With Alternating Coefficients Based on Integral Operator
Meromorphic Functions Alternating Coefficients Distortion Bounds
2010/1/25
By using a linear operator, a subclass of meromorphically p-valent functions with alternating coefficients is introduced. Some important properties of this class such as coefficient bounds, distortion...
期刊信息
篇名
A strongly semismooth integral function and its applications
语种
英文
撰写或编译
撰写
作者
L. Qi,H. Yin
第一作者单位
中国科学院研究生院
刊物名称
J. Computational Optimization and Applications 25 (2003)
页面
pp. 223-246.
出版日期
...