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On a Cauchy–Jensen functional equation and its stability
A mapping \(f\) is called Cauchy-Jensen if it satisfies the system of functional equations \(f(x+y, z)=f(x, z)+f(y, z)\) and \(2f(x, \frac{y+z}{2})=f(x, y) + f(x, z)\). The authors show that a mapping \(f\) is Cauchy-Jensen if and only if \(2f(x+y, \frac{z+w}{2})= f(x, z)+f(x, w)+f(y, z)+f(y, w)\).
Park, Won-Gil, Bae, Jae-Hyeong
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ABSTRACT Using survey and discrete choice experiment data, we examined US specialty crop growers' preferences for marketing contract attributes in the context of emerging blockchain‐based technologies and expanding traceability initiatives. Results show that farmers preferred traditional written contracts but might be willing to accept digital ...
Elizabeth Canales +3 more
wiley +1 more source
MolMiner: Toward Controllable, Three‐Dimensional‐Aware, Fragment‐Based Molecular Design
MolMiner is a fragment‐based, geometry‐aware, and order‐agnostic generative model for molecular design with strong inductive biases. Using symmetry‐aware fragment assembly, dynamic three‐dimensional geometry, and multi‐property conditioning, MolMiner enables interpretable and controllable molecular generation.
Raul Ortega‐Ochoa +2 more
wiley +1 more source
Stability of a Bi-Jensen Functional Equation II
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Lee Yang-Hi, Jun Kil-Woung, Jung Il-Sook
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Abstract Crop insurance is undoubtedly an extremely valuable element in protecting agricultural businesses, but in many cases standard indemnity‐based products have had very low uptake due to high transaction costs elevating premiums to unaffordable levels.
Amogh Prakasha Kumar +2 more
wiley +1 more source
NOTE ON JENSEN AND PEXIDER FUNCTIONAL EQUATIONS
The Jensen functional equation \[ 2f\left({x+y \over 2}\right) =f(x)+f(y) \tag{1} \] is solved in the case where \(f:M\to S\), \(M\) is an Abelian semigroup with the division by \(2,S\) is an abstract convex cone satisfying the cancellation law. The result when applied to a set-valued version of (1) (where \(f\) takes values from the set \(ccl(X)\) of ...
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Food insecurity and unemployment among immigrants in the United States
Abstract Immigrants can be more vulnerable to economic downturns and, during periods of economic hardship, more likely to experience food insecurity compared to natives. This study examines the differential effect of the unemployment rate on the probability of being food insecure among diverse groups of immigrant households relative to natives in the ...
Siwen Zhou +3 more
wiley +1 more source
Hyers-Ulam stability of an alternative functional equation of Jensen type
Given an integer λ / ∈ {−2,−1,0, 2}, we investigate the Hyers-Ulam stability of an alternative Jensen’s functional equation f (x y−1)− 2 f (x) + f (x y) = 0 or f (x y−1)− λ f (x) + f (x y) = 0 where f is a mapping from an abelian group to a Banach space.
C. Srisawat
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STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS [PDF]
Summary: In this paper, we prove the Hyers-Ulam stability of the Jensen functional equation in fuzzy Banach algebras by using fixed point method and by using direct method.
Lee, Jung Rye, Shin, Dong Yun
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Abstract A recent debate has emerged between Caspar et al. (2024) and Herculano‐Houzel (2023) on inferring extinct dinosaur cognition by estimating brain neuron counts. While thought‐provoking, the discussion largely overlooks the function of cognition, as well as partly neglects the difficulties involved in estimating neuron numbers, which according ...
Thomas Rejsenhus Jensen +7 more
wiley +1 more source

