This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental …
Beginning around the year 1980, the topic of approximate homomorphisms and derivations and their stability theory in the field of functional equations and inequalities was taken up by …
A Bahyrycz, J Olko - Aequationes mathematicae, 2016 - Springer
Our purpose is to investigate criteria for hyperstability of linear type functional equations. We prove that a function satisfying the equation approximately in some sense, must be a …
D Popa, I Raşa - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
On the best constant in Hyers–Ulam stability of some positive linear operators - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …
D Zhang - Aequationes mathematicae, 2016 - Springer
We propose a new approach called Hyers–Ulam programming to discriminate whether a generalized linear functional equation, with the form i= 1^ m L_if (j= 1^ n a_ ij x_j)= 0∑ i= 1 …
In this article, we study the Hyers–Ulam stability of the linear and nonlinear fractional differential equations with the Prabhakar derivative. By using the Laplace transform, we …
D Popa, I Raşa - Expositiones Mathematicae, 2013 - Elsevier
On the stability of some classical operators from approximation theory - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
A Molla, S Nicolay - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
A functional definition of polynomial for connected Lie groups - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download …
AM Acu, M Dancs, M Heilmann, V Paşca… - Applicable Analysis and …, 2022 - JSTOR
We consider a sequence of positive linear operators Ln of Bernstein-Schnabl type. It was studied in the literature from various points of view; we provide new properties of it. The …