Two-sided estimate for the derivative of the sum of sine series with convex sequence of coefficients

被引：0
|
作者：
Popov, A. Yu. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2024年 / 215卷 / 10期
基金：
俄罗斯科学基金会;
关键词：
sine series; convex sequence of coefficients; MONOTONE COEFFICIENTS;
D O I：
10.4213/sm10032e
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The absolute value of the derivative of the sum of an arbitrary sine series with convex sequence of coefficients is estimated. The upper estimate is asymptotically sharp, and the lower estimate is order sharp.
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页码：1374 / 1405
页数：32
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