کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614667 | 1339296 | 2016 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strongly regular sequences and proximate orders
ترجمه فارسی عنوان
توالی های به طور منظم و سفارشات مجاور
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Summability methods for ultraholomorphic classes in sectors, defined in terms of a strongly regular sequence M=(Mp)p∈N0M=(Mp)p∈N0, have been put forward by A. Lastra, S. Malek and the second author [28]. We study several open questions related to the existence of kernels of summability constructed by means of analytic proximate orders. In particular, we give a simple condition that allows us to associate a proximate order with a strongly regular sequence. Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index γ(M)γ(M) defined by V. Thilliez [54] and the order of quasianalyticity ω(M)ω(M) introduced by the second author [50] are the same.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 438, Issue 2, 15 June 2016, Pages 920–945
Journal: Journal of Mathematical Analysis and Applications - Volume 438, Issue 2, 15 June 2016, Pages 920–945
نویسندگان
Javier Jiménez-Garrido, Javier Sanz,