[PDF] Top 20 Some notes about one inequality with power functions

... Inequalities with power functions have many important applications. They can be found in mathematical analysis and in other theories like ordinary differential equa- tions, probability theory and statistics, ... See full document

... [2] M. G. Cowling and J. F. Price, Generalization of Heisenberg inequality , Harmonic analy- sis(Proceedings of a Conference Held in Cortona, Italy, July 1-9-1982)(A.Dold and B. Eck- mann, eds.), Lecture ... See full document

... H.ardy and Littlewood, Notes on the Theory of Series XIII: Some New Properties of Fourier Constants, J.. Hardy and Littlewood, Notes on the Theory of Series VIII: An Inequality, London M[r] ... See full document

... 2 Results and discussion Motivated by ., in this paper, we give some inequalities with power exponential functions derived from the left hand side of Becker-Stark’s inequality .... N[r] ... See full document

... and we call it the continuous functional calculus for a selfadjoint operator A: If A is a selfadjoint operator and f is a real valued continuous function on Sp (A), then f (t) 0 for any t 2 Sp (A) implies that f (A) 0; ... See full document

... with power-exponential functions is one of the active areas of research in the mathematical ...The power-exponential functions have useful ap- plications in mathematical analysis and in ... See full document

... holds for all nonnegative real numbers a, b with a + b =  and all x ≥ , which is Conjec- ture . in [] and still an open problem. Cîrtoaje’s open inequality (.) is an interesting and new problem of great ... See full document

... Jensen inequality for operator convex functions (1.2) and provide some refinements and reverse inequalities of ...for some particular operator convex functions such as the power ... 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

... celebrated inequality of Hölder is well known for its fundamental role in many branches of pure and applied ...convex functions as well as in many disciplines of applied ...The power- mean integral ... See full document

... (I) For any values of α, β, and γ, (2.1) always has a local holomorphic solution F(α; β; γ ;z), called a hypergeometric function, which can be represented by a power series which converges in the disc, z < 1. ... See full document

... [9] F. Qi and B.-N. Guo, Wendel-Gautschi-Kershaw’s inequalities and sufficient and necessary conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic, ... See full document

... I’m thinking that as a group, we are all coming from different villages, but we are all the same. There is farming in every village…In fact, I’m born here. We are on my roots. We are all farmers, these are not mining ... See full document

... 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 set C (Sp (A)) of all continuous functions defined on the ... See full document

... follows. Some preliminary materials are given in Section ...for some nonparametric functions in various settings and obtain the corresponding contraction rates for level ...mean functions for ... See full document

... Goh, A counterpart of Jensen’s discrete inequality for differentiable convex mappings and applications in information theory , Math.. Goh, Some bounds on entropy measures in information [r] ... See full document

... for functions whose first derivatives abso- lute values are ...Also some results for functions whose second derivatives absolute values are preinvex will be ...recall some notions in invexity ... See full document

... continuous functions defined on the spectrum of A, denoted SpA, and the C ∗ -algebra C ∗ A generated by A and the identity operator 1 H on H as follows see ... See full document

... work, some new generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions are established, which can be used as a handy tool in the quantitative and qualitative ... See full document

... quasi-variational inequality which is a generalization of the variational inequality problem was introduced first by Bensoussan et ...quasi-variational inequality problem (see [4]). A gap function ... See full document