[PDF] Top 20 On the Superstability of the Pexider Type Trigonometric Functional Equation
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On the Superstability of the Pexider Type Trigonometric Functional Equation
... cosine type functional equations C λ fg , C λ gf , and the hyperbolic trigonometric type functional equations f x y − fx − y λ fxgy, fx y − fx − y λ ... See full document
14
Quadratic functional equations of Pexider type
... 3. Solutions of equation (1.5). In the following theorem, we will find out the gen- eral solutions of the functional equation (1.5) which is a “pexiderized” form of the quadratic functional ... See full document
9
On the Superstability and Stability of the Pexiderized Exponential Equation
... During the thirty-first International Symposium on Functional Equa- tions, Th. M. Rassias [29] introduced the term mixed stability of the function f : E → R (or C ), where E is a Banach space, with respect to two ... See full document
14
On Hilbert Golab-Schinzel type functional equation
... the superstability result for this equation with values in the field of complex numbers to the case of an arbitrary Hilbert space with the Hadamard ... See full document
11
Superstability of the functional equation with a cocycle related to distance measures
... the Pexider type functional equation of (FE) added a cocycle property to the conditions in the results [, ...These functional equations arise in the characterization of symmetrically ... See full document
11
Superstability and Stability of the Pexiderized Multiplicative Functional Equation
... for all x, y ∈ S and for a function ϕ : S × S → 0, ∞ with some coditions, then g is bounded or else g is an exponential and h h1g. This is a generalization of the result of Sz´ekelyhidi. Also we investigate the stability ... See full document
15
On the Superstability Related with the Trigonometric Functional Equation
... cosine functional equation C, the stability of which is established in the work in ...hyperbolic trigonometric functional equation T, the stability of which is established in ... See full document
11
Superstability of Some Pexider Type Functional Equation
... the superstability of the sine functional equation from the following Pexider- type functional equation fxygx−y λ·hxky λ : constant, which can be considered the mixed ... See full document
16
Approximate pexiderized gamma beta type functions
... Baker, Lawrence and Zorzitto [] proved the Hyers-Ulam stability of the Cauchy expo- nential equation f (x + y) = f (x)f (y). That is, if the Cauchy difference f (x + y) – f (x)f (y) of a real-valued function f ... See full document
11
On the Stability of a New Pexider Type Functional Equation
... which is mixed of a quadratic and an additive functional equations. In this paper, we establish the generalized Hyers-Ulam-Rassias stability for 1.6 on the punctured domain V \ {0} and obtain its general solution ... See full document
22
On the Stability of Trigonometric Functional Equations
... Given mappings f : G →C , we will denote a difference operator DA : G × G →C as DA(x, y) : = f (x + y) + f (x − y) − 2 f (x) f (y). (1.1) Badora and Ger [6] proved the superstability under the condition | DA(x, y) ... See full document
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16. A quadratic type functional equation
... The Hyers–Ulam stability of the quadratic equation (1.1) was proved by Skof [22]. Cholewa [6] noticed that the theorem of Skof is still true if the relevant domain 𝒳 is replaced by an abelian group. Furthermore, ... See full document
7
Additive functional inequalities in 2 Banach spaces
... of functional equations concerning the stability of group homomorphisms as follows: Let (G, ◦) be a group and let (H, , d) be a metric group with the metric d(·, ... See full document
10
Hyperstability and Stability of a Logarithm type Functional Equation
... the functional equation f (pr, qs) + f (ps, qr) = 2f(p, q) + 2f (r, s) on semigroup ...Logarithm-type functional equation considered by Elfen, ...approximative equation related ... See full document
8
Fuzzy stability of a mixed type functional equation
... of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the ...the functional ... See full document
12
ON EXISTENCE OF PERIODIC SOLUTIONS OF THE KDV TYPE EQUATION
... KDV type of equation with respect to time variable with periodic external ...original equation to the integral ...the equation is proved by the fixed point ... See full document
6
The Image of the Region Element Based on the Activities of Pedestrians
... the type of primary activity on both weekday and weekend is similar, but there are more primary activity participants on ...major type of activity is just passing by, and it is considered as the dominant ... See full document
8
Studies on the effect of monoamine antagonists on the morphogenesis of the newt
... Int J De, BioI 3J 157 16 t (l9S9) 157 Studies on the effect of monoamine antagonists on the morphogenesis of the newt MAURI HAMALAINEN and JUHANI KOHONEN Department of Biology Laboratory of Animal Phy[.] ... See full document
7
A Gauss type functional equation
... case n = 1 and p = log was studied in [2]. The essential step was done in [4] by the consideration of the definition (1.12) fo r n = 2 with an arbitrary p. The values n = −1 and n = 1 were studied in [5, 6]. The general ... See full document
5
Orthogonal stability of mixed type additive and cubic functional equations
... f(x + y) = f (x) + f (y), (x, y ∈ A, x⊥y) (1.1) in which ⊥ is an abstract orthogonally was first investigated by S. Gudder and D. Strawther [7]. R. Ger and J. Sikkorska discussed the orthogonal stability of the ... See full document
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