[PDF] Top 20 Some Inequalities in 2-inner Product Spaces

... k x, z k , q = p k y, z k and using Cauchy-Schwarz’s inequality for 2 − inner products we deduce (3.3) . Corollary 3.4. Suppose that x, y, z ∈ X and M > 0 are such that k x, z k , k y, z k ≤ M. Then we ... See full document

... complex 2-inner product spaces. A refinement and some related inequalities that complement the results from [6] are also ...of 2-inner product spaces, ... See full document

... of 2-inner products and 2-inner product spaces have been inten- sively studied by many authors in the last three ...of 2-inner product spaces as well ... See full document

... of 2-norm and 2-inner product spaces as generalization of norm and inner product ...of 2-inner product spaces can be found in the book in ... See full document

... and (.) and obtained a generalization of inequalities (.) and (.). This paper contains two sections. In the first section, we will work on a generalized case of Dunkl-Williams inequality in -normed ... See full document

... on inner product quasilinear spaces and prove some theorems related to these ...investigate some algebraic properties of some sub- space of inner product ... See full document

... a 2-inner product space is introduced and then this concept is generalized to an atomic system for an ...in 2-inner product ... See full document

... Let r = √ ε > 0, ε ∈ (0, 1) , a, e ∈ H with kak = kek = 1 and a ⊥ e. Put x = a + √ εe. Then obviously x ∈ B (a, r) , kak > r and kxk 2 = kak 2 + ε kek 2 = 1 + ε, Re hx, ai = kak 2 = 1, ... See full document

... of inequalities 1.3, 1.6, and 1.7 to achieve refinements of some well-known trapezoid-Gr ¨uss and Ostrowki-Gr ¨uss type ...inequalities. Some refinements of inequality ... See full document

... paper some new inequalities of Schwarz and Buzano type for n-tuples of vectors in inner product spaces are ...radius inequalities for n-tuples of bounded linear operators and for ... See full document

... In this paper we obtain some inequalities related to the celebrated Bessel’s inequal- ity in inner product spaces. They complement the results obtained by Boas-Bellman, Bombieri, ... See full document

... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces , Nova Science Publishers, NY, 2007.. [3] S.S.[r] ... See full document

... DRAGOMIR, Inequalities for orthornormal families of vectors in inner product spaces related to Buzano’s, Richard’s and Kurepa’s results, RGMIA Res.. Pure & Appl.[r] ... See full document

... DRAGOMIR, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces, RGMIA Monographs, Victoria University, 2005. KHALEELULA, On Diaz-Metcalf’s comple[r] ... See full document

... various inequalities between the operator norm and its numerical radius of (α, β)-normal operators in Hilbert ...employ some classical inequalities for vectors in inner product ... See full document

... of spaces with inner ...[] some inequalities for the continuous version of the triangle inequality using the Bochner integrable functions are ... See full document

... DRAGOMIR, Advances in Inequalities of the Schwarz, Gr¨ uss and Bessel Type in Inner Product Spaces, Nova Science Publishers, Inc., NY, 2005.. [5] Y.-C.[r] ... See full document

... other inequalities between the operator norm and its numerical ...as some results for vectors in inner product spaces due to Goldstein-Ryff- Clarke [9], Dragomir-S´ andor [7] and ... See full document

... In this section, we try to extend the concept of reproducing kernel to 2-inner product spaces. This extension is along with the previews concepts. The main goal of this extension is to ... See full document

... of inner product ...of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et ... See full document