Results 231 to 240 of about 152,222 (241)

Note on a Jensen type functional equation

Publicationes Mathematicae Debrecen, 2003
The author examines the stability of the functional equation \( f: M \to S\) \[ 3f \left( \frac{x+y+z}{3} \right) + f(x) + f(y) + f(z)=2\left[ f\left ( \frac{x+y}{2} \right) + f\left(\frac{y+z}{2} \right) + f \left ( \frac{z+x}{2} \right) \right], \] where \(M\) is an abelian semigroup in which the division by \(2\) and \(3\) is performable and \(S ...
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STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES

, 2017
M. Khanehgir
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Hyperstability of an n-dimensional Jensen type functional equation

Afrika Matematika, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Jensen's functional equation on groups, III

, 2001
C. T. Ng
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A probabilistic method of solving Lobachevsky’s functional equation

Aequationes Mathematicae, 2020
M. Mania
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A proof of the equivalence of the equationf(x+y−xy)+f(xy)=f(x)+f(y) and Jensen's functional equation

, 1970
H. Światak
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Alternative Jensen type functional equation

Let X and Y be linear spaces over a field F where F = Q,R or C and let f : X-> Y be arbitrary function. Given a constant p R such that p # 0,1, we prove that the alternative Jensen type functional equation pf(x)+(1-p) f (y) = -+f(px+ (1-p)y) is equivalent to the Jensen type functional equation pf(x)+(1-p) f (y) = -+f(px+ (1-p)y) Moreover, we prove ...
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Alternative jensen functional equation on groups

Given integers α, β, γ such that (α, β, γ) ̸= k(1,−2, 1) for all k ∈ Z, we will establish a criterion for the existence of the general solution of the alternative Jensen functional equation of the form f(xy^{−1}) − 2f(x) + f(xy) = 0 or αf(xy^{−1}) + βf(x) + γf(xy) = 0, where f is a mapping from a group (G, ·) to a uniquely divisible abelian group (H, +)
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The Jensen Functional Equation

2011
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ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE

, 2003
Chun-Gil Park, W. Park
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