کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708926 1012836 2012 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Absolutely (completely) monotonic functions and Jordan-type inequalities
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Absolutely (completely) monotonic functions and Jordan-type inequalities
چکیده انگلیسی

Detailed analysis shows that a function ff admits the double Jordan-type inequality if and only if ff is analytic and even. Associated with ff is the function gg with f(x)=g(x2)f(x)=g(x2). In this short note, based on this association, and using properties of absolutely and/or (completely) monotonic functions, we propose a concise method to derive the inequality from the coefficients in the Taylor’s series of ff. The results include some existing ones as special cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 3, March 2012, Pages 571–574
نویسندگان
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