In the paper ,we studied the sum function of dual trigonometric series form as ∑∞n=0∑∞m=0 amncosmxcosny,and proved a few of inequalities related to norm o f sum function ‖f(x,y)‖=∫π-πJB(( ∫π-π|f(x,y)|p1dxJB))p2/p1dy JB)]1/p2<∞.
In this paper, we studied the sum function of dual trigonometric series form as ∞n=0∞m=0a_ mn cosmxcosny, and proved a few of inequalities related to norm of sum function ‖f(x,y)‖_ =∫~π_ -π ∫~π_ -π |f(x,y)|~ p_1 dx~ p_2/p_1 dy1/p_2<∞
This paper studied the sum function of dual trigonometric series form as ∑∞n=0∑∞m=0a mn cosmxcosny and proved a few of inequalities related to norm of sum function ‖f(x,y)‖ p=∫ π -π ∫ π -π ｜f(x,y)｜ pdxdy 1p <∞.
对形如 ∑∞n=0 ∑∞m=0amncosmx cosny等二重三角级数的和函数进行了研究 ,并证明了其和函数的范数‖ f (x,y)‖ p =∫π-π∫π-π|f (x,y) |pdxdy1p <∞所满足的几个有关不等式 .
A necessary condition for best one-sided nonlinear τ-norms approxima- tion is proven,some properies of best approximation by degenerate rational func- tions and generalized exponential sum functions are studied,and some results due to Dunham are extended.
本文证明了一个最佳单边非线性τ-范数平均逼近的必要条件,并研究了用退化的有理函数与指数和函数作单边τ-范数平均逼近的一些性质,并推广了 C. B.Dunham 的一系列结果.
Two important limitation and L'Hospital rules are important means of pursuing the limitation. Making use of sum function of power series, we can not only pursue the limitation of some limitation progression, but sum series of figures.
A differential equation with constant coefficient is obtained by Termwise differentiation on the sum function of power series in this method,and the sum of constant series is able to be solved from the general solution of differential equation.
Starting with an additive property for distributions of two statistically independent random variates in terms of different sum functions, we have characterized two general measures associated with two distributions of a discrete random variate.
It was already shown in the literature that this particular type of weighted-sum functions could be implemented quite easily with SET devices.
Thus, the combination of the add and output largest sum functions require two clock cycles.