[PDF] Top 20 On Hilbert's Inequality for Double Series and Its Applications

... is replaced by mum nvn μ in 4. Some new results in these papers were yielded. The inequality 1.3 is obviously a significant refinement of 1.1 and 1.2. However, both extensions and refinements on 1.2 and 1.3 do not ... See full document

... Hilbert’s double-series inequality together with its integral version, inverse version, and various generalizations (see ...Hilbert’s inequality and also obtain their integral ... See full document

... In this paper, we give an improvement of the inequalities given in Theorems 1.3 and 1.4 similar to Hilbert’s double series inequality and its integral analogue, involving a series of ... See full document

... Xie, “A new reverse Hilbert-type inequality with a best constant factor,” Journal of Mathematical Analysis and Applications, vol.. Yang, “On an extended Hardy-Hilbert’s inequality and so[r] ... See full document

... At present, there are lots of research results on Hilbert-type single integral inequality (cf. [1–14]). But there are relatively few studies on Hilbert-type multiple integral inequality. In ... See full document

... Kato’s inequality for bounded linear operators, we establish some inequalities for n-tuples of operators and apply them for functions of normal operators defined by power series as well as for some norms and ... See full document

... It is then natural to ask the question as to whether we can obtain better bounds for the magnitude of f if the coefficients are restricted to be real numbers, a case which is of large interest due to the fact that many ... See full document

... International Journal of Mathematical Education in Science and Technology 1991; 22 :326-328..[r] ... See full document

... Motivated by the above results we establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients... The following result hold[r] ... See full document

... The inequality (1.1) may be classified into several types (discrete and integral etc.), which is of great importance in analysis and its applications [1,2]. Ever since the advent of inequality ... See full document

... Applications for bounding the distance to a finite-dimensional subspace, in reversing the generalised triangle inequality and for Fourier coefficients are also given1. Introduction.[r] ... See full document

... (CBS) inequality for sequences of vectors in Hilbert spaces which complement the ones obtained in part one are ...given. Applications in reversing the generalised triangle inequality and for ... See full document

... the inequality obtained in this paper to give a sufficient condition for convergence of a ...an inequality technique to give a sufficient condition for the convergence of a special q-series called the ... See full document

... Kato’s inequality for bounded linear operators, we establish some new inequalities for n-tuples of operators and apply them to functions of normal operators defined by power series as well as to some norms ... See full document

... Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given.. Applications for vector inequalities a[r] ... See full document

... many applications in a wide range of fields, which includes phase retrieval, medical image reconstruction, signal processing, radiation therapy treatment planning, among others (for example, see [9, 12, 13, 14] ... See full document

... 2. Tsurumi, K, Takahasi, S-E, et al.: Fukusokaisekigaku. Shokodo CO., LtD (1988) (Japanese) 3. Craigen, R, Pales, Z: The associativity equation revisited. Aequ. Math. 37, 306-312 (1989) 4. Aczel, J: Sur les ... See full document

... A Gr¨ uss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and [r] ... See full document

... In this paper, we have two major objectives. One is motivated by [10], to give a gener- alization of (1.3) by introducing two real functions φ(x) and ψ (x). The other is to build a class of new inequalities similar to ... See full document

... a series of Hilbert- type integral inequalities with single kernels, mixed kernels, and compound kernels can be obtained by selecting appropriate parameter θ and other parameter values, so that the obtained ... See full document