Results 61 to 70 of about 360 (83)

On Popoviciu-Ionescu functional equation

, 2016
We study a functional equation first proposed by T. Popoviciu in 1955. It was solved for the easiest case by Ionescu in 1956 and, for the general case, by Ghiorcoiasiu and Roscau, and Rad\'o in 1962.
Almira, J. M.
core   +2 more sources

Some Applications of Laplace Transforms in Analytic Number Theory [PDF]

, 2014
In this overview paper, presented at the meeting DANS14, Novi Sad, July3-7, 2014, we give some applications of Laplace transforms to analytic number theory.
Ivić, Aleksandar
core  

On continuous solutions and stability of a conditional Goąb--Schinzel equation

Publicationes mathematicae (Debrecen), 2008
We determine the continuous solutions f : R → R of the functional equation f(x + f(x)y)f(x)f(y)[f(x + f(x)y)− f(x)f(y)] = 0 (x, y ∈ R). We also give some remarks on nonstability of the GoÃla̧b–Schinzel equation. Let R denote the set of reals. The GoÃla̧b–
N. Brillouët-Belluot, J. Brzdȩk
semanticscholar   +1 more source

Approximate Hermite-Hadamard inequality [PDF]

, 2014
The main results of this paper offer sufficient conditions in order that an approximate lower Hermite-Hadamard type inequality imply an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
core  

HOMOGENEOUS NON-SYMMETRIC MEANS OF TWO VARIABLES

, 2007
Let f,g : I —* R be given continuous functions on the interval I such that j / 0, and h :— — is strictly monotonic (thus invertible) on I . Taking an increasing 9 nonconstant function fj, on [0,1] f,gAiV) •= ~ ^ \ f ( t x + (l-t)y)dß(t)^ o \ o \g{tx + (l-
L. Losonczi
semanticscholar   +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

On the sets of maximum points for generalized Takagi functions [PDF]

, 2017
Let φ be a continuous and periodic function on ℝ with period 1 and φ(0)=0. We consider the generalized Takagi function ƒφ defined by ƒφ(x)=Σ[n=0,∞]1/2ⁿφ(2ⁿx) and the set Mᵩ of maximum points of ƒᵩ in the interval [0,1]. When φ₀(x) is the function defined
Fujita Yasuhiro, Saito Yusuke
core   +1 more source

Fixed points of inhomogeneous smoothing transforms

, 2011
We consider the inhomogeneous version of the fixed-point equation of the smoothing transformation, that is, the equation $X \stackrel{d}{=} C + \sum_{i \geq 1} T_i X_i$, where $\stackrel{d}{=}$ means equality in distribution, $(C,T_1,T_2,...)$ is a given
Alsmeyer, Gerold, Meiners, Matthias
core   +1 more source

On Strongly Convex Functions [PDF]

, 2014
The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity.
Házy, Attila, Makó, Judit
core  

On Baire measurable solutions of some functional equations

Open Mathematics, 2009
Baron Karol
doaj   +1 more source