کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624330 1339542 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On weighted extensions of Cauchy's means
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On weighted extensions of Cauchy's means
چکیده انگلیسی

We show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighted means. Some basic properties and examples are presented. A functional equation which appears in the problem of symmetry of these means is considered. As an application a natural extension of Stolarsky's means is obtained and a two parameter subclass of weighted power means is determined.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 1, 1 July 2006, Pages 215-227