Results 1 to 10 of about 323 (78)
Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities
Open Mathematics, 2012 In this paper, the connection between the functional inequalities $$ f\Big(\frac{x+y}{2}\Big)\leq\frac{f(x)+f(y)}{2}+\alpha_J(x-y) \qquad (x,y\in D)$$ and $$ \int_0^1f\big(tx+(1-t)y\big)\rho(t)dt \leq\lambda f(x)+(1-\lambda)f(y) +\alpha_H(x-y) \qquad (x ...
Makó Judit, Páles Zsolt
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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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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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Axiomatizations of signed discrete Choquet integrals [PDF]
, 2010 We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lov\'asz extension of a pseudo-Boolean function which vanishes at the origin.
Cardin, Marta +3 more
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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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On the commutation of generalized means on probability spaces [PDF]
, 2016 Let $f$ and $g$ be real-valued continuous injections defined on a non-empty real interval $I$, and let $(X, \mathscr{L}, \lambda)$ and $(Y, \mathscr{M}, \mu)$ be probability spaces in each of which there is at least one measurable set whose measure is ...
Leonetti, Paolo +2 more
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Continuous horizontally rigid functions of two variables are affine [PDF]
, 2011 Cain, Clark and Rose defined a function $f\colon \RR^n \to \RR$ to be \emph{vertically rigid} if $\graph(cf)$ is isometric to $\graph (f)$ for every $c \neq 0$.
Balka, Richárd, Elekes, Márton
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Non-differentiable functions defined in terms of classical representations of real numbers [PDF]
, 2017 The present article is devoted to functions from a certain subclass of non-differentiable functions. The arguments and values of considered functions represented by the s-adic representation or the nega-s-adic representation of real numbers.
Serbenyuk, Symon
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