Results 1 to 10 of about 70 (62)
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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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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On a Functional Equation Appearing on the Margins of a Mean Invariance Problem
Annales Mathematicae Silesianae, 2020 Given a continuous strictly monotonic real-valued function α, defined on an interval I, and a function ω : I → (0, +∞) we denote by Bαω the Bajraktarević mean generated by α and weighted by ω:
Jarczyk Justyna, Jarczyk Witold
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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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Derivation Pairs on Rings and RNGs
Annales Mathematicae SilesianaeWe generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative.
Ebanks Bruce
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On a Generalized Conjecture by Alzer and Matkowski
Annales Mathematicae SilesianaeWe study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy.
Fechner Włodzimierz +2 more
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Conditional Equations Related to Drygas Functional Equations
Annales Mathematicae SilesianaeWe determine the solutions of the conditional Drygas equation for functions f1 and f2 that satisfy (y2 + y)f1(x) = (x2 + x)f2(y) for all (x, y) ∈ ℝ2 under the additional conditions y = x2, or y = log(x), x > 0 or y = exp(x).
Izadi Sadegh +2 more
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Steklov Type Operators and Functional Equations
Annales Mathematicae SilesianaeWe consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela +2 more
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Speed of Light or Composition of Velocities
Annales Mathematicae SilesianaeWe analyze in our paper questions of the theory of relativity. We approach this theory from the point of view of velocities and their composition. This is where the functional equations appear.
Sablik Maciej
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