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Keyword

additive functions

Description: Additive functions are functions satisfying an equation that relates the value at a sum of inputs to the sum of their values, studied in mathematical analysis.
OpenAlex ID: keywords/additive-functions
Functional equations in several variables: with applications to mathematics, information theory, and to the natural and social sciences
1989 · Choice Reviews Online · 854
Parallel distributed processing: explorations in the microstructure of cognition. Volume 1. Foundations
1986 · David E. Rumelhart, James L. McClelland · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 546
An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality
2008 · Marek Kuczma · 483
Fixed Points and the Stability of Jensens Functional Equation
2003 · Liviu Cădariu, Viorel Radu · Journal of Inequalities in Pure & Applied Mathematics · 408
Functional Equations and Inequalities in Several Variables
2002 · Stefan Czerwik · WORLD SCIENTIFIC eBooks · 396
Additive functions of intervals and Hausdorff measure
1946 · P. A. P. Moran · Mathematical Proceedings of the Cambridge Philosophical Society · 396
On the Stability of the Cauchy Functional Equation: a Fixed Point Approach
2004 · Liviu Cădariu, Viorel Radu · 295
Handbook of number theory
1996 · D. S. Mitrinović, József Sándor, et al. · CERN Document Server (European Organization for Nuclear Research) · 272
When are Multiplicative Mappings Additive?
1969 · Wallace S. Martindale · Proceedings of the American Mathematical Society · 259
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Additive Gaussian Processes
2011 · Duvenaud, David, Nickisch, Hannes, et al. · arXiv (Cornell University) · 210
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Eine Basis aller Zahlen und die unstetigen L�sungen der Funktionalgleichung:f(x+y)=f(x)+f(y)
1905 · Georg Hamel · Mathematische Annalen · 208
Ergodic theorems for superadditive processes.
1981 · M.A. Akcoglu, U. KRENGEL · Journal für die reine und angewandte Mathematik (Crelles Journal) · 206
On the Distribution Function of Additive Functions
1946 · P. Erdos · Annals of Mathematics · 185
Quartic functional equations
2005 · Sang Han Lee, Sung Mo Im, et al. · Journal of Mathematical Analysis and Applications · 169
A general form of the covering principle and relative differentiation of additive functions
1945 · A. S. Besicovitch · Mathematical Proceedings of the Cambridge Philosophical Society · 157
Mean Value Theorems and Functional Equations
1998 · P K Sahoo, T Riedel · WORLD SCIENTIFIC eBooks · 147
Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces
2007 · Abbas Najati, Mohammad B. Moghimi · Journal of Mathematical Analysis and Applications · 139
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Hyperstability of the Cauchy equation on restricted domains
2013 · Janusz Brzdȩk · Acta Mathematica Academiae Scientiarum Hungaricae · 133
Bayesian Regression Tree Ensembles that Adapt to Smoothness and Sparsity
2018 · Antonio R. Linero, Yun Yang · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 130
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On the functional equation 𝑓(𝑥+𝑦)=𝑓(𝑥)+𝑓(𝑦)
1926 · Mark Kormes · Bulletin of the American Mathematical Society · 128
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Eine zur Parallelogrammgleichung äquivalente Ungleichung
2001 · A. Gilányi · Aequationes Mathematicae · 114
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On a Local Stability of the Jensen Functional Equation
1989 · Zygíryd Kominek · Demonstratio Mathematica · 113
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Addition Theorems: The Addition Theorems of Group Theory and Number Theory
1976 · Henry B. Mann · Medical Entomology and Zoology · 102
Hyperstability of the Jensen functional equation
2013 · Anna Bahyrycz, Magdalena Piszczek · Acta Mathematica Academiae Scientiarum Hungaricae · 95
Sequential definitions of compactness
2007 · H. Çakalli · Applied Mathematics Letters · 91
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Works count: 2,202
Citation count: 16,510
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