[PDF] Top 20 Approximate Cauchy functional inequality in quasi Banach spaces
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Approximate Cauchy functional inequality in quasi Banach spaces
... on Functional Equations asked the question whether such a theorem can also be proved for p ≥ ...unbounded Cauchy difference by this factor ||x|| p ||y|| q for p,q Î R with p + q ≠ ... See full document
11
Approximate mixed additive and quadratic functional in 2-Banach spaces
... Throughout this paper, let X be a normed linear space and Y a 2- Banach space. In 1941, D. H. Hyers [4] obtained the first result on the stability of the Cauchy functional equation. In 1950, T. Aoki ... See full document
7
On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... of functional equations originated from the question of Ulam [, ] concerning the stability of group ...near approximate additive ...the Cauchy difference controlled by a product of different powers ... See full document
13
On isomorphism in C*-ternary algebras for a Cauchy- Jensen functional equations
... on Functional Equations asked the question whether such a theorem can also be proved for F ≥ 1 ...between Banach spaces provided a lot of influence in the development of generalization of the ... See full document
13
On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
... the functional inequality ...Neumann-type Cauchy- Jensen additive mappings and prove their stability, and Cho and Kim 23 proved the Hyers- Ulam-Rassias stability of the Jordan-von Neumann-type ... See full document
13
Approximate Behavior of Bi Quadratic Mappings in Quasinormed Spaces
... Hyers 2 proved the stability problem of additive mappings in Banach spaces. Rassias 3 provided a generalization of Hyers theorem which allows the Cauchy difference to be unbounded: let f : E → E be a ... See full document
8
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... an approximate homomorphism? The concept of stability for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...for ... See full document
9
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces
... an approximate homomorphism? The concept of stability for functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the ...for ... See full document
26
Approximate Quartic and Quadratic Mappings in Quasi Banach Spaces
... Corollary 3.8. Let θ, r, s be nonnegative real numbers such that r, s > 4 or 2 < r, s < 4 or r, s < 2. Suppose that an even function f : X → Y with f 0 0 satisfies the inequality 3.28, for all x, y ∈ ... See full document
19
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2 Banach spaces
... for functional equations originates from a question of Ulam [28] concerning the stability of group ...of Cauchy function in Banach ...the Cauchy difference to become ...of functional ... See full document
13
Additive functional inequalities in 2 Banach spaces
... The further part of the proof is similar to the proof of Theorem .. Now we prove the superstability of the Cauchy functional inequality in -Banach spaces. Theorem . Let θ ∈ [, ∞), ... See full document
10
On the Cauchy Functional Inequality in Banach Modules
... of functional equations originated from a question of Ulam 1 concerning the stability of group ...unbounded Cauchy difference by a general control function in the spirit of ... See full document
8
Stability of functional inequalities in matrix random normed spaces
... the Cauchy additive func- tional inequality ...normed spaces by using the direct ...the Cauchy-Jensen additive functional inequality ...normed spaces by using the fixed ... See full document
12
Stability of a Cauchy Jensen Functional Equation in Quasi Banach Spaces
... the Cauchy functional equation gxy gxgy respectively, the Jensen functional equation 2gxy/2 ...for Cauchy equation, and by Lee and Jun 9 for Jensen ... See full document
9
A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... f (2x + y) + f (2x − y) = 4[ f (x + y) + f (x − y)] + 24 f (x) − 6 f (y) (1.5) and discussed its general solution. In fact Lee et al. [17] proved that a function f between vector spaces X and Y is a solution of ... See full document
24
More results on a functional generalization of the Cauchy Schwarz inequality
... above inequality gives the same result as the pre-Grüss inequality () while for p = q = (or p = q = ) the Cauchy-Schwarz inequality is ...Wagner inequality [] is derived. An ... See full document
9
Maximal Lp Regularity of Deterministic and Stochastic PDEs
... Proofs of these theorems use on the Plancherel Theorem which asserts that m is a Fourier multiplier when p = 2, and then employ an interpolation argument (see, for example, [13] for the scalar case and [3] for the ... See full document
120
Some Inequalities in 2-inner Product Spaces
... In this section, we shall point out some results in 2 − inner product spaces in con- nection to A´ czel’s inequality [12]. For some other similar results in inner products, see [8]. We note that the results ... See full document
8
Reverses of the Triangle Inequality in Banach Spaces
... Utilising (10.16) and (10.17) we deduce (10.15) and the proof is completed. 10.2. The Case of m Functionals. The following result may be stated [8]: Theorem 16 (Dragomir, 2004) . Let (X, k·k) be a Banach space ... See full document
48
Generalized stability of an AQ-functional equation in quasi-(2;p)-Banach spaces
... We introduce a basic property of a quasi-(2;p)-normed space as follows. Let (X , k·, ·k) be linear quasi-(2;p)-normed space, x ∈ X and k x, y k= 0 for each y ∈ X. suppose x 6= 0. Since dim X > 1, choose ... See full document
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