共查询到20条相似文献,搜索用时 31 毫秒
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The aim of this paper is to investigate the superstability problem for the pexiderized trigonometric functional equation∑ v∈Φ∫Kf(xkv(y)k-1)dwK(k)= Φ g(x)h(y), x, y ∈ G,where G is any topological group, K is a compact subgroup of G, ωK is the normalized Haar measure of K, Φ is a finite group of K-invariant morphisms of G and f, g, h are continuous complex-valued functions.Consequently, we have generalized the results of stability for d'Alembert's and Wilson's equations by R. Badora, J. Baker, B. Bouikhalene, P. Gavruta, S. Kabbaj, Pl. Kannappan, G. H.Kim, J.M. Rassias, A. Roukbi, L. Sz′ekelyhidi, D. Zeglami, etc. 相似文献
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In this paper we shall extend Hardy’s inequality associated with Fourier trans-form to the strip n(2?p)≤σ相似文献
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Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator
The aim of this paper is to establish an extension of qualitative and quantitative uncertainty principles for the Fourier transform connected with the spherical mean operator. 相似文献
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In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementar... 相似文献
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K?pka’s D-poset is a very important notion in quantum structures. In this paper the conditional probability on the K?pka’s D-posets is studied. The notion of conditional probability is introduced and the basic properties of conditional probability are proved. 相似文献
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以Hilbert不等式为代表的双线型不等式是分析学的重要不等式。近代利用权函数方法,该类不等式的推广应用研究得到深入的发展。本文应用权函数的方法,建立了一个具有最佳常数因子的-4齐次核的双线型不等式,作为应用,导出其等价的不等式。 相似文献
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Game theory is extensively used to study strategy-making and actions of play- ers. The authors proposed an analysis method for study the evolutionary outcome and behaviors of players with preference in iterated prisoner's dilemma. In this article, a preference parameter k was introduced in the payoff matrix, wherein the value of k denotes the player's degree of egoism and altruism (preference). Then, a game-theoretic dynamical model was formulated using Birth-and-Death process. The authors studied how preference influences the evolutionary equilibrium and behaviors of players. The authors get the general results: egoism leads to defection, and altruism can make players build trust and maintain cooperation, and so, the hope of the Pareto optimal solution. In the end, the simulation experiments proved the efficiency of the method. 相似文献
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Hei-Chi Chan 《数学学报(英文版)》2011,27(4):625-634
In this paper, we study a certain partition function a(n) defined by Σ
n≥0
a(n)q
n
:= Π
n=1(1 − q
n
)−1(1 − q
2n
)−1. We prove that given a positive integer j ≥ 1 and a prime m ≥ 5, there are infinitely many congruences of the type a(An + B) ≡ 0 (mod m
j
). This work is inspired by Ono’s ground breaking result in the study of the distribution of the partition function p(n). 相似文献
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This article proves the existence of Julia directions of value distribution of holomorphic mapping f from the unit disk into the n-dimensional complex projective space P n(C) under the assumption lim sup r→1-T(r,f)/log 1/1-r=+∞ for hypersurfaces in general position.A heuristic principle concerning the existence of Julia directions of holomorphic mappings from the unit disk into P n(C) is given also. 相似文献
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基于正项级数的比较判别法和p-级数的敛散性,给出一个与D’Alembert判别法和Cauchy判别法平行的判别正项级数敛散性的方法.并通过实例对所给判别法的可行性进行检验,发现它是已有方法的一个有效补充. 相似文献
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In this article,we study characterization,stability,and spectral mapping theorem for Browder's essential spectrum,Browder's essential defect spectrum and Browder's essential approximate point spectrum ... 相似文献
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By using the concept of cone extensions and Dancs-Hegedus-Medvegyev theorem, Ha [Some variants of the Ekeland variational
principle for a set-valued map. J. Optim. Theory Appl., 124, 187–206 (2005)] established a new version of Ekeland’s variational principle for set-valued maps, which is expressed by
the existence of strict approximate minimizer for a set-valued optimization problem. In this paper, we give an improvement
of Ha’s version of set-valued Ekeland’s variational principle. Our proof is direct and it need not use Dancs-Hegedus-Medvegyev
theorem. From the improved Ha’s version, we deduce a Caristi-Kirk’s fixed point theorem and a Takahashi’s nonconvex minimization
theorem for set-valued maps. Moreover, we prove that the above three theorems are equivalent to each other. 相似文献
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Kobayashi's and Teichmiiller's Metrics on the Teichmiiller Space of Symmetric Circle Homeomorphisms 总被引:1,自引:0,他引:1
We give a direct proof of a result of Earle, Gardiner and Lakic, that is, Kobayashi’s metric and Teichmüller’s metric coincide
with each other on the Teichmüller space of symmetric circle homeomorphisms. 相似文献
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Chen’s Conjecture and Its Generalization 总被引:1,自引:0,他引:1
Let l1, l2, ..., lg be even integers and x be a sufficiently large number. In this paper, the authors prove that the number of positive odd integers k ≤ x such that (k +l1)^2, (k +l2)^2, ..., (k +lg)^2 can not be expressed as 2^n+p^α is at least c(g)x, where p is an odd prime and the constant c(g) depends only on g. 相似文献
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Using product and convolution theorems on Lorentz spaces, we characterize the sufficient and necessary conditions which ensure the validity of the doubly weighted Hardy-Littlewood-Sobolev inequality. It should be pointed out that we consider whole ranges of p and q, i.e., 0 p ≤∞ and 0 q ≤∞. 相似文献