On stability of the general linear equation

A Bahyrycz, J Olko - Aequationes mathematicae, 2015 - Springer
We prove, using the fixed point approach, some stability results for the general linear
functional equation. Namely we obtain sufficient conditions for the stability of a wide class of …

[PDF][PDF] Stability of the equation of the p-Wright affine functions

J Brzdȩk - Aequationes mathematicae, 2013 - core.ac.uk
Stability of the equation of the p-Wright affine functions Page 1 Aequat. Math. 85 (2013), 497–503
c© The Author(s) 2012. This article is published with open access at Springerlink.com 0001-9054/13/030497-7 …

Functional equations involving means

Z Dar├│ czy, K Lajk├│, RL Lovas, G Maksa… - Acta Mathematica …, 2007 - JSTOR
Functional Equations Involving Means and Their Gauss Composition Page 1 PROCEEDINGS
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 2, Pages 521-530 S …

On Approximately p‐Wright Affine Functions in Ultrametric Spaces

A Bahyrycz, J Brzdęk, M Piszczek - Journal of Function Spaces, 2013 - Wiley Online Library
On Approximately p‐Wright Affine Functions in Ultrametric Spaces - Bahyrycz - 2013 - Journal
of Function Spaces - Wiley Online Library Skip to Article Content Skip to Article Information …

Approximate convexity of Takagi type functions

J Makó, Z Páles - Journal of mathematical analysis and applications, 2010 - Elsevier
Given a bounded function Φ: R→ R, we define the Takagi type function TΦ: R→ R by The
main results of the paper provide sufficient conditions on Φ in order that TΦ be …

Stability of the Equation of q-Wright Affine Functions in Non-Archimedean (n,β)-Banach Spaces

ES El-Hady, I El-Fassi - Symmetry, 2022 - mdpi.com
In this article, we employ a version of some fixed point theory (FPT) to obtain stability results
for the symmetric functional equation (FE) of q-Wright affine functions in non-Archimedean …

Stability of the equation of (p, q)-Wright functions

A Bahyrycz, J Olko - Acta Mathematica Hungarica, 2015 - Springer
Abstract The Hyers–Ulam stability of a generalization of the functional equation of p-Wright
affine functions in normed spaces is studied. We give sufficient conditions for stability of this …

On t-convex functions.

K Nikodem, Z Páles - 2003 - projecteuclid.org
ON t-CONVEX FUNCTIONS∗ Page 1 Real Analysis Exchange Vol. 29(1), 2003/2004, pp. 219
228 Kazimierz Nikodem, Department of Mathematics, University of Bielsko-Biaªa, ul. Wilowa 2 …

[HTML][HTML] On the classes of higher-order Jensen-convex functions and Wright-convex functions, II

J Mrowiec, T Rajba, S Wąsowicz - Journal of Mathematical Analysis and …, 2017 - Elsevier
Abstract Recently Nikodem, Rajba and Wąsowicz compared the classes of n-Wright-convex
functions and n-Jensen-convex functions by showing that the first one is a proper subclass …

On stability of a functional equation of quadratic type.

J Brzdęk, E Jabłońska, M Moslehian… - Acta Mathematica …, 2016 - search.ebscohost.com
We prove some stability results for the equation in the class of functions mapping a groupoid
(X,∗) into a Banach space Y, where $${p, q, r, s: X\rightarrow X} $$ are endomorphisms of …