Results 1 to 10 of about 360 (83)
Journal of Inequalities and Applications, 2013 For a class of partially ordered means, we introduce a notion of the (nontrivial) cancelling mean. A simple method is given, which helps to determine cancelling means for the well-known classes of the Hölder and Stolarsky means. MSC:39B22, 26D20.
S. Simić
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Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces
Journal of Inequalities and Applications, 2011 Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and ...
Kang Jung Im, Cho Yeol Je, Najati Abbas
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On singular nonlinear distributional and impulsive initial and boundary value problems
Boundary Value Problems, 2011 Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
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On the Ulam-Hyers stability of a quadratic functional equation
Journal of Inequalities and Applications, 2011 The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated.
Park Won-Gil +2 more
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Demonstratio Mathematica, 2023 The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali +3 more
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On a Separation Theorem for Delta-Convex Functions
Annales Mathematicae Silesianae, 2020 In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
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On a functional equation involving iterates and powers
Advances in Differential Equations, 2014 We present a complete list of all continuous solutions f:(0,+∞)→(0,+∞) of the equation f2(x)=γ[f(x)]αxβ, where α, β and γ>0 are given real numbers.MSC:39B22, 39B12, 26A18.
J. Morawiec
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Generalization of the Harmonic Weighted Mean Via Pythagorean Invariance Identity and Application
Annales Mathematicae Silesianae, 2020 Under some simple conditions on the real functions f and g defined on an interval I ⊂ (0, ∞), the two-place functions Af (x, y) = f (x) + y − f (y) and Gg(x,y)=g(x)g(y)y{G_g}\left({x,y} \right) = {{g\left(x \right)} \over {g\left(y \right)}}y generalize,
Kahlig Peter, Matkowski Janusz
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Sums and products of intervals in ordered semigroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We show a simple example for ordered semigroup 𝕊 = 𝕊 (+,⩽) that 𝕊 ⊆ℝ (ℝ denotes the real line) and ]a, b[ + ]c, d[ = ]a + c, b + d[ for all a, b, c, d ∈ 𝕊 such that a < b and c < d, but the intervals are no translation invariant, that is, the equation c +
Glavosits T., Karácsony Zs.
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The C0 solutions of the Feigenbaum-like functional equation
Advances in Differential Equations, 2013 By using the Schauder’s fixed point theorem, and constructing the special functional space and the construction operator, the existence, uniqueness, quasi-convexity (or quasi-concavity), symmetry and stability of the C0 solutions of the Feigenbaum-like ...
Ying Liang, Xiaopei Li, Yuzhen Mi
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