کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899608 1631548 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras
چکیده انگلیسی
We present methods that allow to estimate the distance between the approximate and exact zeros of some polynomial equations and systems of them (also infinite) in ultrametric Banach algebras. To make our results more useful, we consider that issue in a more general situation, i.e., for some functional equations of polynomial form; moreover, we do it almost everywhere (with respect to a given σ-ideal). As an auxiliary tool we prove an ultrametric version of a fixed point theorem in some function spaces (also almost everywhere). Our investigations have been motivated by several previous outcomes and the notion of Ulam stability.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 464, Issue 1, 1 August 2018, Pages 531-545
نویسندگان
, , ,