Hardy-Hilbert重级数定理的一个改进

利用Gram矩阵的正定性和Bernoulli不等式得到Holder不等式的一个加强的结果.由此建立了Hardy-Hilbert重级数定理的一个改进.特别,当p=2时,得到了经典的Hilbert重级数定理的一个很强的结果.     

Orlicz范数下的Hardy-Hilbert不等式

给出了Orlicz范数下的Hardy-Hilbert不等式的一种形式,建立了当N-函数M(u)及其余N-函数N(u)均满足Δ′条件时Orlicz范数下的积分型及双级数型Hardy-Hilbert不等式.     

关于一个改进的Hardy-Hilbert不等式

通过建立权系数并利用改进了的Hlder不等式,得到了一个新的改进的Hardy-Hilbert不等式.当p=2时,便得到了经典的Hilbert不等式的一个改进.     

一个具最佳常数的多参数Hardy-Hilbert不等式

本文引入参数λ1,λ2,α,研究双参数型Hardy-Hilbert不等式.利用权系数方法,得到了一个多参数的Hardy-Hilbert重级数不等式及其等价形式,推广了有关文献的一些结果.     

Hardy-Hilbert型积分不等式的一个推广及其应用

本文讨论带参数的Hardy-Hilbert型积分不等式.利用改进了的Hlder不等式对它进行了推广,作为其应用,给出了Hardy-Littlewood不等式的推广.     

Hardy-Hilbert不等式的推广

本文研究了Hardy-Hilbert不等式的推广.利用β函数,获得了Hardy-Hilbert不等式推广的一种统一模式,且推广了杨必成在文献[2,4]中的已知结果.     

一个推广的具最佳常数的多参数Hardy-Hilbert不等式

引入λ1,λ2,α等多个参数,利用权系数方法,给出了一个推广的具最佳常数的多参数Hardy-Hilbert重级数不等式,并给出其等价形式.     

一个新的Hardy-Hilbert类不等式及其应用

本文求出一个具有相同最佳常数因子的类似于Hardy-Hilbert不等式的新不 等式.作为应用,给出它的等价形式及一些特殊结果.     

Hilbert不等式的加强及其应用

通过引入一个形如(x)/1+(x)(x≥0)的函数,建立一种新的加权Hilbert不等式.并且给出权函数的具体表达式.从而得到经典Hilbert重级数定理的一个加强结果;作为它的应用,给出Hardy-Littlewood不等式和Widder不等式的一些改进.     

一个对偶的Hardy-Hilbert不等式

建立一个对偶的Hardy-Hilbert不等式,它是Hilbert不等式的具有最佳常数因子的(p,q)-参数形式的推广.本文还考虑了它的更一般的推广形式及等价形式.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

English Series

正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science.     

CHINESE ANNALS OF MATHEMATICS SERIES B Volume 35 · 2014 TOTAL CONTENTS

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Congruences,ideals and annihilators in standard QBCC-algebras

We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels. Work on the paper was supported by Council of Czech Government No J14/98:153100011.     

A decomposition of continuity via ideals

A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.      

When a compact (countably compact) set is closed. II

We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T ₄,-spaces.     

ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION

The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.