[PDF] Top 20 On Inverse Hilbert Type Inequalities

... to Hilbert inequalities and Hilbert-type inequalities and their various generalizations by several authors including Handley et ...integral inequalities similar to Hilbert ... See full document

... Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities, Birkh¨ auser, Basel, 1980, ... See full document

... Results in this paper will be based on the following general form of Hilbert’s and Hardy-Hilbert’s inequality proven in 5. All the measures are assumed to be σ-finite on some measure space Ω. Let 1/p 1/q 1 with p > 1, ... See full document

... integral inequalities played a fundamental role in mathematics and have a wide variety of applications in many areas of pure and applied ...David Hilbert 1862–1943 first proved Hilbert’s double series ... See full document

... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ... See full document

... By the way of using real analysis and estimating the weight functions, two kinds of Hilbert-type integral inequalities in the whole plane with a non-homogeneous kernel and a homogeneous kernel are ... See full document

... [5] S. S. Dragomir, J. Peˇ cari´ c and J. S´ andor, The Chebyshev inequality in pre-Hilbertian spaces, II. Proceedings of the Third Symposium of Mathematics and its Applications (Timi¸soara, 1989), 75–78, Rom. Acad., ... See full document

... 2. A Version of the ˇ Cebyˇ sev Inequality for One Operator Let A be a selfadjoint linear operator on a complex Hilbert space (H; h., .i) . The Gelfand map establishes a ∗-isometrically isomorphism Φ between the ... See full document

... Motivated by the above results we investigate in this paper other Gr¨ uss’ type inequalities for selfadjoint operators in Hilbert spaces. Some of the obtained results improve the inequalities ... See full document

... Young inequalities, ...Some inequalities for positive definite matrices, in: ...General Inequalities 2, Proceedings of the 2nd International Confer- ence on General Inequalities, Birkh¨ auser, ... See full document

... In this paper we consider two functionals associated with the Jensen inequality for operator convex functions (1.2) and provide some refinements and reverse inequalities of interest. They will be ilustrated for ... See full document

... The main objective of this paper is to establish inequalities in the whole plane, as well as the corresponding operator expression, the equivalent form, and the reverse inequality. Special emphasis is placed on a ... See full document

... Proposition 6.9 (Dragomir, 2014, [40]). Let A be a selfadjoint operator on the Hilbert space H and assume that Sp (A) ⊆ [m, M ] for some scalars m, M with m + M 6= 0. If f is a continuously differentiable convex ... See full document

... [35] J.E. Peˇ cari´ c, S.Puntanen and G. P. H Styan, . Some further matrix extensions of the Cauchy- Schwarz and Kantorovich inequalities, with some statistical applications. Special issue hon- oring Calyampudi ... See full document

... a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...new Hilbert- Hardy-type inequality similar to Hilbert-type integral inequality is given, and two ... See full document

... Motivated by the natural question that arise in order to compare the quantity w (AB) with other expressions comprising the norm or the numerical radius of the involved operators A and B (or certain expressions ... See full document

... mathematical inequalities play very important role in classical differential and integral equations which has applications in many ...Fractional inequalities are important in studding the existence, ... See full document

... of Hilbert-type inequalities with the homogeneous kernels of degree negative numbers and some parameters is given by ...integral inequalities are built in the quarter ... See full document

... More results of the Wilker-type inequalities for hyperbolic, Bessel, circular, inverse trigonometric, inverse hyperbolic, lemniscate, generalized trigonometric, generalized hyperbolic, J[r] ... See full document

... Our first intention is to give an extension of inequality () to the case of non-conjugate exponents and a general homogeneous function. Having in mind relations () and (), our results will be given in two equivalent ... See full document