共查询到18条相似文献,搜索用时 62 毫秒
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本文讨论了牛曼─贝塞尔级数的共轭级数,建立了其部分和与相应的共轭Fourier三角级数的部分和之间的关系,同时给出了两个收敛定理。 相似文献
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Muckenhoupt和Stein在[1]中给出共轭超球级数的定义,并讨论了广义的“共轭调和”函数.在本文中,我们给出共轭Fourier—Legendre级数的新定义,讨论了相应的共轭函数和等价收敛定理. 相似文献
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本文讨论了牛曼-贝塞尔级数的共轭级数,建立了其部分和与相应的共轭Fourier三角级数的部分和之间的关系,同时结出了两个收敛定理。 相似文献
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The rate of convergence of the conjugate series of the mixed Jacobi series for continuous function of bounded vartation is given. 相似文献
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给出共轭Neumann-Bessel级数的核函数的渐近表达式,它的精度达到O(),然后利用这个表达式,讨论了该级数的收敛速度. 相似文献
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Fourier级数部分和对ω-型单调函数的逼近 总被引:7,自引:0,他引:7
俞国华 《高校应用数学学报(A辑)》2002,17(1):51-55
引入ω-型单调函数的概念,研究了Fourier级数部分和对其的逼近问题,推广了Mazhar(1991)的结果,减弱了Salem和Zygmund(1946)的结果的条件,使Salem和Zygmund的结论适用于更大的函数类。 相似文献
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《Indagationes Mathematicae》2022,33(3):581-597
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Radu Ioan Bo? Ioan Bogdan Hodrea 《Journal of Mathematical Analysis and Applications》2006,322(1):316-328
We present some Farkas-type results for inequality systems involving finitely many functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function and convex inequality constraints. Some recently obtained results are rediscovered as special cases of our main result. 相似文献
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本文通过推广凸共轭函数和次梯度的概念,建立了非线性规划问题的一类对偶理论——Ω共轭对偶理论.研究结果表明,许多关于非线性最优化对偶性方面的结论都是本文的特殊情况. 相似文献
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《Optimization》2012,61(3):471-485
Applying for the additive min-type coupling function $$ \varphi (x, w) = \mathop {\min }\limits_{1 \le i \le n} (x_1 + w_i )\quad (x = (x_i ), w = (w_i ) \in {\shadR}^n ) $$ the techniques from abstract convex analysis, developed in [I. Singer (1997). Abstract Convex Analysis . Wiley-Interscience, New York], we show that the conjugate of type Lau f L ( } ) of f with respect to } has the simple expression $ f^{L(\varphi )} (w) = - f( - w)\, (w \in {\shadR}^n ) $ if and only if f is increasing and upper semi-continuous. As a consequence, we obtain that for topical (i.e., increasing additively homogeneous) functions f the Fenchel-Moreau conjugate of f with respect to } and the conjugate of type Lau of f with respect to } coincide. 相似文献
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ON CONJUGATE SYMPLECTICITY OF MULTI-STEP METHODS 总被引:1,自引:0,他引:1
Yi-fa Tang 《计算数学(英文版)》2000,18(4):431-438
1. Introduction.For an ordinary differential equationany compatible linear m-step difference scheme (for simplicity) denoted by LMSM):can be characterized by a step-transition operator G (also denoted by G"): Re - Resatisfyingwhere Gb stands for k-time composition of G: G o G' o G (refer to [1-4]).The operator G defined by (3) can be represented as a power series in T with firstterm equal to identity i. More preciselys it is shown[4] thatLemma A. If scheme (2) is Of order s, then the… 相似文献
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Gerard Misiolek 《Proceedings of the American Mathematical Society》1996,124(3):977-982
An example of a geodesic in with conjugate points is given, thus providing an affirmative answer to a question of V.I. Arnold.
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D. Le 《Mathematical Programming》1985,32(1):41-68
This paper describes a new unconstrained optimisation procedure employing conjugate directions and requiring only threen-dimensional vectors. The method has been tested for computational efficiency and stability on a large set of test functions and compared with numerical data of other major methods. Results show that the method possesses strong superiority over other existing conjugate gradient methods on all problems and can out-perform or is at least as efficient as quasi-Newton methods on many tested problems. 相似文献