Results 51 to 60 of about 94 (84)

Speed of Light or Composition of Velocities

Annales Mathematicae Silesianae
We 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
doaj   +1 more source

On Functions with Monotonic Differences

Annales Mathematicae Silesianae
Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions.
Rajba Teresa
doaj   +1 more source

Approximation of the multiplicatives on random multi-normed space. [PDF]

J Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source

Approximation of the generalized Cauchy-Jensen functional equation in C ∗ -algebras. [PDF]

J Inequal Appl, 2018
Kaskasem P, Klin-Eam C.
europepmc   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source

Refined stability of additive and quadratic functional equations in modular spaces. [PDF]

J Inequal Appl, 2017
Kim HM, Shin HY.
europepmc   +1 more source

Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces

Demonstratio Mathematica
This paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam, Onitsuka Masakazu, Lakshmi Velu   +2 more
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Stability and approximation of multi-reciprocal functional equations with applications

Applied Mathematics in Science and Engineering
This paper investigates the approximation and Ulam-type stability of a system of multi-reciprocal functional equations defined on [Formula: see text]. We first characterise the associated multi-reciprocal functions and obtain their exact form.
Abasalt Bodaghi, Beri Venkatachalapathy Senthil Kumar   +1 more
doaj   +1 more source

Functional Equations with an Anti-Endomorphism for Functions with Multidimensional Codomains

Annales Mathematicae Silesianae
Let S be a semigroup, ℍ be the skew field of quaternions, and ψ: S → S be an anti-endomorphism. We determine the general solution of the functional equation g(xy)-g(xψ(y))=2g(x)g(y),          x, y∈S,g\left( {xy} \right) - g\left( {x\psi \left( y \right)}
Ouhabi Ayoub, Zeglami Driss, Ayoubi Mohamed   +2 more
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On Baire measurable solutions of some functional equations

Open Mathematics, 2009
Baron Karol
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