weak inequality 中文意思是什麼

weak inequality 解釋
弱不等式
  • weak : adj 1 柔弱的；虛弱的，有病的。2 無力的，軟弱的；（根據等）不充分的，薄弱的。3 不中用的；愚鈍的；...
  • inequality : n. 1. 不平等，不平均，不平衡，不等量。2. 不相同，互異。3. 變動，變化，高低，起伏。4. 【數學】不等式；【天文學】均差。5. （平面等的）不平坦。6. 不勝任。
  1. Also, we give characteriza - tions of the set of solutions for ( ivep ) in case of nonmonotonicity, weak c - pseudomonotonicity, c - pseudomonotonicity and strict c - pseudomonotonicity, respectively. under these assumptions and additional conditions, we conclude that " the sets of solutions for ( ivep ) are nonempty, closed and convex. finally, we give some applications of ( ivep ) to vector variational inequality problems and vector optimization problems

    通過有力的證明和具體的例子，我們可以斷定在一定條件下隱式向量均衡問題（ ivep ）的解集是不空、閉和凸的；最後在第五節里，我們舉出了一些隱式向量均衡問題（ ivep ）應用到向量變分不等式問題和向量優化問題的例子。
  2. In the first chapter, we obtained weighted norm inequality on the commutators, by proving a variant of sharp function estimates ; j. orobitg and c. perez introduced ap weights for nondoubing measures and proved weighted norm inequality of c - z singular integrals. in the second chapter, we obtained weighted inequalities of fractional integral and its maximal function with ap ( u ) weights for nondoubing measure ; e. sawyer obtained a weak type double weights inequality for fractional integrals in [ 13 ]. in the third chapter, we generalized the sawyer ' s result for non - doubling measures

    本文第一章通過證明一個變形的sharp估計，從而得到奇異積分交換子的加權有界性； j . orobitg和c . p rez在文[ 10 ]中引入了非倍測度的a _ p權理論並證明了c - z奇異積分的加權有界性，本文第二章得到了分數次積分運算元和分數次極大函數在非倍測度下a _ p （ ）權的加權估計； e . sawyer在文[ 13 ]中得到了分數次積分的一個雙權弱型不等式，本文第三章把e . sawyer的結果推廣到非倍測度的情形。
  3. Due to the poor regularity of solutions at large time. ( 0. 2. 1 ) can not defined in classical way. i, e., the defi nition of the derivatives at any points has no sense. so it may be rather difficult in the research of classical way and must be defined in weak sense. in order to guarantee the uniqueness of weak solutions, a condition ( entropy inequality ) must be need to pick out " good " solution ( entropy solutions )

    由於大時間范圍內守恆律（ 0 . 1 . 1 ）的解表現為很差的正則性，它不能在古典意義下定義，即在每一點下的導數無意義，使得古典辦法研究遇到很大困難，它只能在弱意義下定義弱解，但往往這種弱解不唯一，需要某條件限制確保解的唯一性，在數學上稱為熵條件，滿足該條件的弱解稱為熵解。
  4. In this paper, we study the a - harmonic equation we first prove a local ar - weighted caccioppoli - type inequality for weak solutions to a - harmonic equation. then, by using the methods of hodge decomposition and the weak reverse holder inequality, we prove a regularity result for very weak solutions to a - harmonic equation

    在這篇文章中，我們討論形如diva （ x ， ? u （ x ） ） = 0的a -調和方程，證明了其弱解滿足的局部a _ ~ -加權caccioppoli型不等式，並以hodge分解和弱逆hlder不等式為工具，得到了其很弱解的正則性結果。
  5. Weighted weak type inequality for a general maximal operator on lorentz spaces

    空間極大函數的加權弱型不等式
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