Results 11 to 20 of about 79,677 (309)

The system of mixed type additive-quadratic equations and approximations

Journal of Inequalities and Applications
In this article, we study the structure of a multiple variable mapping. Indeed, we reduce the system of several mixed additive-quadratic equations defining a multivariable mapping to obtain a single functional equation, say, the multimixed additive ...
Abasalt Bodaghi, Hesam Mahzoon, Nasser Mikaeilvand   +2 more
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On Identities with Additive Mappings in Rings [PDF]

Iranian Journal of Mathematical Sciences and Informatics, 2020
Summary: If \(F,D:R\rightarrow R\) are additive mappings which satisfy \(F(x^ny^n)=x^ nF(y^n)+y^nD(x^n)\) for all \(x,y\in R\). Then, \(F\) is a generalized left derivation with associated Jordan left derivation \(D\) on \(R\). Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given
openaire   +2 more sources

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

Mathematics, 2023
In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional ...
Kandhasamy Tamilvanan, Ali H. Alkhaldi, Ravi P. Agarwal, Abdulaziz M. Alanazi   +3 more
doaj   +1 more source

Generalized Hyers–Ulam Stability of the Additive Functional Equation

Axioms, 2019
We will prove the generalized Hyers–Ulam stability and the hyperstability of the additive functional equation f(x1 + y1, x2 + y2, …, xn + yn) = f(x1, x2, … xn) + f(y1, y2, …, yn).
Yang-Hi Lee, Gwang Hui Kim
doaj   +1 more source

Additivity of Quadratic Maps

Publications of the Research Institute for Mathematical Sciences, 1988
The set of observables of a Quantum Mechanical System need only be closed under a "quadratic" product. It is shown that an additive structure of this set (whose existence is less natural) is uniquely determined by this multiplicative structure.
Friedman, Yaakov, Hakeda, Josuke
openaire   +3 more sources

QTL mapping in autotetraploids using SNP dosage information [PDF]

, 2014
Dense linkage maps derived by analysing SNP dosage in autotetraploids provide detailed information about the location of, and genetic model at, quantitative trait loci.
Christine A. Hackett, Glenn J. Bryan, Bradshaw, John E., Bryan, Glenn J., John E. Bradshaw, Hackett, Christine A.   +5 more
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Spatial mapping of powder layer density for metal additive manufacturing via transmission X-ray imaging

, 2021
Uniform powder spreading is a requisite for creating consistent, high-quality components via powder bed additive manufacturing (AM). Layer density and uniformity are complex functions of powder characteristics, spreading kinematics, and mechanical ...
Reimar Weissbach, Praegla, Patrick M, Oropeza, Daniel, Hart, A. John, Marvin Ochsenius, Meier, Christoph, Ryan W. Penny, Penny, Ryan W, Patrick M. Praegla, Wall, Wolfgang A, Weissbach, Reimar, Daniel Oropeza, A. John Hart, Christoph Meier, Ochsenius, Marvin, Wolfgang A. Wall   +15 more
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On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

Optimal design for additive partially nonlinear models [PDF]

, 2010
We develop optimal design theory for additive partially nonlinear regression models, showing that Bayesian and standardized maximin D-optimal designs can be found as the products of the corresponding optimal designs in one dimension.
D. C. Woods, Dette, H., Woods, D. C., Dette, Holger, H. Dette, Woods, David C., Biedermann, S., Woods, D.C., S. Biedermann, Biedermann, Stefanie   +9 more
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Nearly General Septic Functional Equation

Journal of Function Spaces, 2021
If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping.
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
doaj   +1 more source