Results 31 to 40 of about 70 (62)

A new analogue of Gauss′ functional equation

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 749-756, 1995., 1994
Gauss established a theory on the functional equation (Gauss′ functional equation) , where f : R+ × R+ → R is an unknown function of the above equation. In this paper we treat the functional equation where f : R+ × R+ → R is an unknown function of this equation.
Hiroshi Haruki, Themistocles M. Rassias
wiley   +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

Results in Mathematics A FUNCTIONAL EQUATION ARISING FROM SIMULTANEOUS UTILITY REPRESENTATIONS

, 2020
Suppose that two classes of utility representations of preferences, one additive and one increasing increments, hold simultaneously over uncertain binary alternatives (gambles). This assumption leads to the functional equation .
Jbnos Acz61, A A J Marley, R Duncan Luce
core  

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
doaj   +1 more source

Alternative Functional Equations. A Survey

Annales Mathematicae Silesianae
This paper provides a survey of several results on alternative functional equations, related to the Cauchy equation and to the quadratic equation, and involving one or more unknown functions.
Forti Gian Luigi
doaj   +1 more source

Functional equations on discrete sets

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let Y (+) be a group, D ⊆ ℤ2 where ℤ(+, ⩽) denotes the ordered group of all integers, and ℤ2 := ℤ×ℤ. We shall use the notations Dx := {u ∈ ℤ | ∃v ∈ X : (u, v) ∈ D}, Dy := {v ∈ ℤ | ∃u ∈ ℤ : (u, v) ∈ D}, Dx+y := {z ∈ ℤ | ∃(u, v) ∈ D : z = u + v}.
Glavosits T., Karácsony Zs.
doaj   +1 more source

© Hindawi Publishing Corp. NOTES ON STABILITY OF THE GENERALIZED GAMMA FUNCTIONAL EQUATION

, 2001
The Hyers-Ulam stability in three senses is discussed by Kim (2001) for the generalized gamma functional equation g(x+p) = a(x)g(x) under some conditions which involve convergence of complicated series.
Weinian Zhang, Bing Xu, Gwang Hui Kim
core  

WHY PRODUCT OF PROBABILITIES (MASSES) FOR INDEPENDENT EVENTS? A REMARK

, 2008
: For independent events A and B, the probability P (A & B) is equal to the product of the corresponding probabilities: P (A&B) = P (A) · P (B).
Vladik Kreinovich, Scott Ferson
core  

On Baire measurable solutions of some functional equations

Open Mathematics, 2009
Baron Karol
doaj   +1 more source

Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities

Open Mathematics, 2012
Makó Judit, Páles Zsolt
doaj   +1 more source