[PDF] Top 20 Inequalities for the p-Angular Distance in Normed Linear Spaces
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Inequalities for the p-Angular Distance in Normed Linear Spaces
... The constants 2 −p and p in (1.1) are best possible in the sense that they cannot be replaced by smaller quantities. As pointed out in [5], the inequality (1.1) for p ∈ [1, ∞) is better than the ... See full document
10
On Some Inequalities in Normed Linear Spaces
... is similar to (1.5). For the case of two vectors we recapture Maligranda’s result (1.1) and provide various inequalities for the dual expression kx/ kyk − y/ kxkk with x, y ∈ X\ {0} . Some bounds for the ... See full document
11
On Pečarić Rajić Dragomir Type Inequalities in Normed Linear Spaces
... Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China 2 Department of Mathematics, Tunghai University, Taichung 40704, [r] ... See full document
7
On Some Discrete Inequalities in Normed Linear Spaces
... 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
9
Some refinement of the inequality in quasi-2-normed spaces and quasi-(2;p)-normed spaces
... 2-normed spaces was introduced by G ¨ ahler [1] in 1965, and has been de- veloped extensively in different subjects by others (see ...product spaces (see ...triangle inequalities and ... See full document
10
The Aleksandrov Problem in quasi convex 2-normed linear spaces
... a linear mapping up to translation. In 1970, Aleksandrov [1] posed the following question: ”Whether or not a mapping with distance one preserving property is an isometry? ” It is called the Aleksandrov ... See full document
10
Torricellian points in normed linear spaces
... a normed space, we consider the set of Torricellian points, that is, the set of points which minimises the sum of distances to the points in A ...reflexive normed spaces, non-expansive subspaces and ... See full document
15
Fuzzy stability of functional inequalities in matrix fuzzy normed spaces
... for linear spaces of bounded Hilbert space opera- tors in terms of matricially normed spaces [] implies that quotients, mapping spaces, and various tensor products of operator ... See full document
28
Quadratic $rho$-functional inequalities in $beta$-homogeneous normed spaces
... The functional equation f (x + y) = f (x) + f(y) is called the Cauchy equation. In particular, every solution of the Cauchy equation is said to be an additive mapping. Hyers [8] gave a first affirmative partial answer to ... See full document
6
Stability of functional inequalities in matrix random normed spaces
... is called the Cauchy additive functional equation. In particular, every solution of the Cauchy additive functional equation is said to be an additive mapping. Hyers [] gave the first affirmative partial answer to the ... See full document
12
Inequalities in Additive isometries on Linear normed Banach Spaces
... The Aleksandrov problem has been investigated in several papers (see [2, 3, 6–9, 13– 15, 20, 23, 26, 28]). Rassias and ˇSemrl [25] proved the following theorem for mappings satisfying the strong distance one ... See full document
12
Farthest Points and Subdifferential in p Normed Spaces
... In this paper, using some strategies from 5–7, we study the farthest point mapping in a p-normed space X in virtue of subdifferential of rx sup{x − z p : z ∈ M}, where M is a weakly sequentially ... See full document
6
Nonlinear Random Stability of an ACQ Functional Equation
... answer to the question of Ulam for Banach spaces. Hyers’ theorem was generalized by Aoki 5 for additive mappings and by Th. M. Rassias 6 for linear mappings by considering an unbounded Cauchy difference. The ... See full document
23
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... Remark 4 . It is well known that for a self-adjoint operator A and for a positive number a we have kAk ≤ a if and only if −a · I ≤ A ≤ a · I. This is also equivalent to the condition σ (A) ⊆ [−a, a] , where σ (A) denotes ... See full document
10
Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
... DRAGOMIR, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, RGMIA Res.. S ´ ANDOR, Some inequalities in prehilbertian spaces, Studia Univ.[r] ... See full document
11
Some New Double Sequence Spaces Defined by Orlicz Function in Normed Space
... double-sequence spaces, whose elements are form n-normed spaces, using an Orlicz function, which may be considered as an extension of various sequence spaces to n-normed ... See full document
9
A Generalisation of the Pečarić-Rajić Inequality in Normed Linear Spaces
... DRAGOMIR, Another Gr¨ uss type inequality for sequences of vectors in normed linear spaces and applications.. DRAGOMIR, A Gr¨ uss type inequality for sequences of vectors in normed linea[r] ... See full document
12
On strong orthogonality and strictly convex normed linear spaces
... Motivated by this fact, we here introduce the notion of strong orthogonality as follows. Strongly orthogonal in the sense of Birkhoff-James: In a normed linear space X, an element x is said to be strongly ... See full document
7
Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
... In this study, we introduced the concept of lacunary statistical convergence with respect to a fuzzy norm. We also studied the relation between lacunary summabilty and lacunary convergence in fuzzy normed space. ... See full document
5
Improved estimates for the triangle inequality
... Inequalities () improve the inequalities for the norm-angular distance, of Maligranda [], which can be obtained from ...Other inequalities for the norm-angular ... See full document
12
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